Department of Mathematics

CMAIA reports

2003

CMAIA 2003-01. A. V. Sobolev* (postscript file)
Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one.
CMAIA 2003-02. A. V. Sobolev* (postscript file)
Integrated density of states for the periodic Schrödinger operator in dimension two.
CMAIA 2003-03. A. V. Sobolev*
On a lattice point problem arising in the spectral analysis of periodic operators.
CMAIA 2003-04. C. M. Elliott*, D. Kay* & V. Styles*
Finite element analysis of a current density - electric field formulation of Bean's model for superconductivity.
CMAIA 2003-05. H. Garcke & V. Styles* (gzipped postscript file)
Bi-directional diffusion induced grain boundary motion with triple junctions
CMAIA 2003-06. M.M. Skriganov
Harmonic analysis on totally disconnected groups and irregularities of point distributions.

2002

CMAIA 2002-01. C. M. Elliott*, Y. Giga & S. Goto (postscript file)
Dynamic boundary conditions for Hamilton-Jacobi equations
CMAIA 2002-02. J-M. Bouclet (.dvi file)
Traces formulae for relatively Hilbert-Schmidt perturbations
CMAIA 2002-03. J-M. Bouclet (postscript file)
Spectral distributions for long range perturbations
CMAIA 2002-04. V.N. Kolokol'tsov, R.L. Schilling* & A.E. Tyukov (postscript file)
Transience and non-explosion of certain stochastic Newtonian systems
CMAIA 2002-05. K.P. Deckelnick*, G. Dziuk & C.M. Elliott* (postscript file)
Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces
CMAIA 2002-06. K.P. Deckelnick* & M. Hinze (postscript file)
Optimal error estimates and computations for tracking-type control of the instationary Stokes system
CMAIA 2002-07. C. M. Elliott* & V. Styles* (postscript file, gzipped postscript file)
Computations of bidirectional grain boundary dynamics in thin metallic films
CMAIA 2002-08. V. N. Kolokol'tsov & A. E. Tyukov (postscript file)
On boundary value problems for Hamiltonian systems and absolute minimisers in calculus of variations
CMAIA 2002-09. R. L. Schilling*
On the existence of Feller processes with a given generator
CMAIA 2002-10. R. L. Schilling*
A note on invariant sets
CMAIA 2002-11. C. M. Elliott*, D. A. Kay* & V. Styles* (gzipped postscript file)
A finite element approximation of a variational formulation of Bean's model for superconductivity
CMAIA 2002-12. V. Styles* (postscript file)
A note on the convergence in the limit of a long wave vortex density superconductivity model to the Bean model
CMAIA 2002-13. J. W. Barrett, R. Nürnberg & V. Styles* (postscript file)
Finite element approximation of a void electromigration model

2001

CMAIA 2001-01. D. E. Edmunds* & R. Hurri-Syrjänen
Necessary conditions for Poincaré domains

CMAIA 2001-02. D. E. Edmunds* & M. Krbec
Decomposition and Moser's lemma

CMAIA 2001-03. N. Jacob & R. L. Schilling*
Towards an L p -potential theory for sub-Markovian semigroups: kernels and capacities

CMAIA 2001-04. D. E. Edmunds* & B. Opic
Equivalent quasi-norms on Lorentz spaces.

CMAIA 2001-05. K. P. Deckelnick*, C. M. Elliott* & V. Styles*
Analysis and computations for a model of quasi-static deformation of a thinning sheet.

CMAIA 2001-06. M. M. Skriganov
Coding theory and uniform distributions.

CMAIA 2001-07. E. Shargorodsky* & A. V. Sobolev*
Quasi-conformal mappings and periodic spectral problems in dimension two.

CMAIA 2001-08. M. M. Skriganov & A. V. Sobolev*
On a lattice point problem arising in the spectral analysis of periodic operators

CMAIA 2001-09. A. R. Humphries* & A. M. Stuart
Deterministic and random dynamical systems: theory and numerics.

CMAIA 2001-10. K. A. Abell, C. E. Elmer, A. R. Humphries* & E. S. Van Vleck.
Computation of mixed type functional differential boundary value problems.

CMAIA 2001-11. K. Zhang* (postscript file)
Maximal extension for linear spaces of real matrices with large rank

CMAIA 2001-12. K. Zhang* (postscript file)
On separation of gradient Young measures

CMAIA 2001-13. D. A. Kay*, D. Loghin & A. Wathen (postscript file)
A preconditioner for the steady-state Navier-Stokes equations

CMAIA 2001-14. A. Wathen, D. Loghin, D. A. Kay*, H. Elman & D. Silvester (postscript file)
A preconditioner for the Oseen equations

2000

CMAIA 2000-01. E. Shargorodsky*
Semi-elliptic operators generated by vector fields II: Spectral theory

CMAIA 2000-02. L. Parnovski* & A. V. Sobolev*
On the Bethe-Sommerfeld conjecture for the polyharmonic operator

CMAIA 2000-03. D. M. Elton*
New examples of zero modes

CMAIA 2000-04. K. P. Deckelnick*
A phase-field model for diffusion-induced grain boundary motion

CMAIA 2000-05. L. Parnovski* & A. V. Sobolev*
Perturbation theory and the Bethe-Sommerfeld conjecture

CMAIA 2000-06. D. E. Edmunds* & J. Rákosník Sobolev embeddings with variable exponent

CMAIA 2000-07. P. J. Bushell* & A. Carbery
Reversed Jensen type integral inequalities for monotone functions

CMAIA 2000-08. P. J. Bushell* & J. B. McLeod
Shapiro's cyclic inequality for even n

CMAIA 2000-09. K. P. Deckelnick*, C. M. Elliott* & V. Styles*
Numerical diffusion induced grain boundary motion

CMAIA 2000-10. C. M. Elliott* & V. Styles*
Numerical approximation of vortex density evolution in a superconductor

CMAIA 2000-11. D. E. Edmunds*, R. Kerman & J. Lang
Remainder estimates for the approximation numbers of weighted Hardy operators acting on L 2

CMAIA 2000-12. K. A. Abell*, A. R. Humphries* & E. S. Van Vleck
Mosaic solutions and entropy for discrete phase transition equations

CMAIA 2000-13. A. R. Humphries* & N. Christodoulou*
Phase Space Error Control for Dynamical Systems II

CMAIA 2000-14. K. Deckelnick* & G. Dziuk
A fully discrete numerical scheme for weighted mean curvature flow

CMAIA 2000-15 D. E. Edmunds* & B. Opic
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces

CMAIA 2000-16 D. E. Edmunds* & A. Nekvinda
Averaging operators on l {p n } & L p(x)

CMAIA 2000-17 D. M. Elton*
Fredholm properties of elliptic operators on Rn

CMAIA 2000-18 S. Naboko & R. Romanov*
Spectral singularities and asymptotics of contractive semigroups

CMAIA 2000-19 A.V. Sobolev* & J. Walthoe*
Absolute continuity in periodic waveguides

CMAIA 2000-20 D.M. Elton*
The local structure of zero mode producing magnetic potentials

CMAIA 2000-21 A. Briggs*, J. Claisse*, C.M. Elliott* & V. Styles*
Computation of vorticity evolution for a cylindrical Type-II superconductor subject to parallel and transverse applied magnetic fields

1999

CMAIA 99-01 M. Sh. Birman & T. A. Suslina
The periodic Dirac operator is absolutely continuous

CMAIA 99-02 K. P. Deckelnick* & K. G. Siebert
W1,¥ -convergence of the discrete free boundary for obstacle problems

CMAIA 99-03 M. Sh. Birman & T. A. Suslina
Two-dimensional periodic Pauli operator. The effective masses at the lower edge of the spectrum

CMAIA 99-04 E. Shargorodsky*
Semi-elliptic operators generated by vector fields I: Invariant calculus of anisotropic pseudodifferential operators on a manifold

CMAIA 99-05 A. Pushnitski
Estimates for the spectral shift function of the polyharmonic operator

CMAIA 99-06 A.V. Sobolev*
Yet another proof of the Bethe-Sommerfeld conjecture

CMAIA 99-07 K. Deckelnick* & G. Dziuk
Error estimates for a semi implicit fully discrete finite element scheme for the mean curvature flow of graphs

CMAIA 99-08 D. M. Elton*
Spectral Properties of the Equation (Ñ + ieA) ´ u = ± mu

CMAIA 99-09 A. J. Briggs*, J. R. Claisse* & C. M. Elliott*
Finite difference approximation of a non-local Hamilton-Jacobi equation arising in superconductivity.

CMAIA 99-10 J.W. Cahn, C.M. Elliott*, P.C. Fife & O. Penrose
A free boundary model for diffusion induced grain boundary motion.

CMAIA99-11 C.J. Budd & A.R. Humphries*
Numerical and analytical estimates of existence regions for semi-linear elliptic equations with critical Sobolev exponents in cuboid and cylindrical domains.

CMAIA 99-12 K.P. Deckelnick* & C.M. Elliott*
An existence and uniqueness result for a phase-field model of diffusion-induced grain-boundary motion

CMAIA 99-13 C.M. Elliott* & S. Maier-Paape
Losing a graph with surface diffusion

1998

CMAIA 98-01 Vicentiu Radulescu and Qi Tang*
Asymptotics and pinning of vortices for a variational problem -with vanishing weight related to superconductivity

CMAIA 98-02 D. Elton* and D.G. Vassiliev*
The Dirac equation without spinors

CMAIA 98-03 K. Naimark and M. Solomyak
Eigenvalue estimates for the weighted Laplacian on metric trees

CMAIA 98-04 M.Solomyak
Estimates of the approximation numbers of the weighted Riemann-Liouville operator in the spaces Lp

CMAIA 98-05 K. A. Abell*, A. R. Humphries* & E. S. Van Vleck
Mosaic solutions and entropy for spatially discrete Cahn-Hilliard equations

CMAIA 98-07 V. A. Mikhailets & A. V. Sobolev*
Common eigenvalue problem and periodic Schrödinger operators

CMAIA 98-08 K. Deckelnick*
Error analysis for a difference scheme approximating mean curvature flow

CMAIA 98-09 C. M. Elliott* & V. Styles
Flux pinning and boundary nucleation of vorticity in a mean field model of superconducting vortices

1997

CMAIA 97-01 I. Roitberg, *D. Vassiliev, T. Weidl
Edge resonance in an elastic semi-strip

CMAIA 97-02 Alexander V. Sobolev
Quasi-classical asymptotics for the Pauli operator

CMAIA 97-03 *D.E. Edmunds and Yu. Netrosov
Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces

CMAIA 97-04 *Charles M. Elliott, Reiner Schätzle, Barbara Stoth
Viscosity solutions of a degenerate parabolic elliptic system arising in the mean field theory of superconductivity

CMAIA 97-05 D.J. Higham, *A.R. Humphries and R.J. Wain
Phase space error control for dynamical systems

CMAIA 97-06 *Alexander V. Sobolev
Absolute continuity of the periodic magnetic Schrödinger operator

CMAIA 97-07 *Charles M. Elliott, Vanessa M. Styles
Numerical analysis of a mean field model of superconducting vortices

CMAIA 97-08 Reiner Schätzle and Vanessa Styles
Analysis of a mean field model of superconducting vortices

CMAIA 97-09 Klaus Deckelnick, *Charles M. Elliott
Propagation of Eikonal curvature fronts in two-dimensional inhomogeneous and striped media

1996

CMAIA 96-01 *Alexander V Sobolev
Two-term asymptotics for the sum of eigenvalues of the Schrödinger operator with Coulomb singularities in a homogeneous magnetic field

CMAIA 96-02 P Bauman, D Phillips, *Q Tang
Stable nucleation for the Ginzburg-Landau system with an applied magnetic field

CMAIA 96-03 *A R Humphries, C J Budd, A J Wathen
Finite element method solutions from semi-linear elliptic PDEs with critical Sobolev exponents on non-spherical 3D domains

CMAIA 96-04 *V E Petrov
On explicit solutions of the Prandtl equation

CMAIA 96-05 X. Chen, *C.M Elliott, A.R. Gardiner, J.J. Zhao
Convergence of numerical solutions to the Allen-Cahn equation

CMAIA 96-06 Klaus Deckelnick,*Charles M.Elliott
Local and global existence results for anisotropic Hele-Shaw flows

CMAIA 96-07 Y.Netusov,*T.Weidl
On Lieb-Thirring inequalities for higher order operators with critical and subcritical powers

CMAIA 96-08 *Timo Weidl
Eigenvalue asymptotics for locally perturbed second order differential operators

CMAIA 96-09 *D.E.Edmunds, W.D.Evans and D.J.Harris
Two-sided estimates of the approximation numbers of certain Volterra integral operators

CMAIA 96-10 *D.E.Edmunds,R. Hurri-Syrjänen
Remarks on the Hardy inequality

CMAIA 96-11 Andrea Cianchi,*D.E.Edmunds
On weighted inequalities for classical operators in Lorentz spaces

CMAIA 96-12 *Timo Weidl
Remarks on virtual bound states for semi-bounded operators

CMAIA 96-13 C.J.Budd,*A.R.Humphries
Weak finite dimensional approximations of semi-linear elliptic PDEs with near critical exponents

CMAIA 96-14 *G. Richardson
Instability of a superconducting line vortex

CMAIA 96-15 S.J. Chapman, *G. Richardson
Vortex pinning by inhomogeneities in type-II superconductors

CMAIA 96-16 S.J. Chapman, *G. Richardson
Motion and homogeneisation of vortices in anisotropic type-II superconductors

CMAIA 96-17 *C.M. Elliott, A.R. Gardiner, T. Kühn
Generalised double obstacle phase field approximation of the anisotropic mean curvature flow

CMAIA 96-18 K. Deckelnick, *C.M. Elliott, G. Richardson
Long time asymptotics for forced curvature flow with application to the motion of a superconducting vortex

CMAIA 96-19 *C.M. Elliott, A.R. Gardiner
Double obstacle phase field computations of dendritic growth

CMAIA 96-20 K. Deckelnick, *C.M. Elliott
Finite element error bounds for curve shrinking with presented normal contact to a fixed boundary

CMAIA 96-21 *C.M.Elliott
Approximation of curvature dependent interface motion

CMAIA 96-22 C.J.Budd, *A.R.Humphries
Adaptive methods for semi-linear elliptic equations with critical exponents and interior singularities

CMAIA 96-23 *D.E.Edmunds, R. Hurri-Syrjänen
On Hardy-type Inequalities

CMAIA 96-24 C.J.Budd, *A.R.Humphries, A.J. Wathen
The finite element approximation of semi-linear elliptic PDEs with critical exponents in the cube

CMAIA 96-25 *D.E.Edmunds, M. Krbec
On decomposition in exponential Orlicz spaces

CMAIA 96-26 *Anders Holst
Eigenfunction expansions and scattering for constant coefficient self-adjoint boundary value problems on the half-axis

CMAIA 96-27 *Anders Holst
Trace formulae for constant coefficient self-adjoint boundary value problems on the half-axis

CMAIA 96-28 *T. Kühn Convergence of a fully discrete approximation for advected mean curvature flows

1995

CMAIA 95-01 *A V Sobolev DISCRETE SPECTRUM ASYMPTOTICS FOR THE SCHRÖDINGER OPERATOR WITH A SINGULAR POTENTIAL AND A MAGNETIC FIELD (To appear in Proc. London. Math. Soc.)

CMAIA 95-02 *Charles M Elliott, Reiner Schätzle THE LIMIT OF THE ANISOTROPIC DOUBLE-OBSTACLE ALLEN-CAHN EQUATION

CMAIA 95-03 *A V Sobolev ON THE LIEB-THIRRING ESTIMATES FOR THE PAULI OPERATOR (To appear in Duke Math. J.)

CMAIA 95-04 *Qi Tang, Shouhong Wang TIME DEPENDENT GINZBURG-LANDAU EQUATIONS OF SUPERCONDUCTIVITY

CMAIA 95-05 *Charles M Elliott, Reiner Schätzle THE LIMIT OF THE FULLY ANISOTROPIC DOUBLE-OBSTACLE ALLEN-CAHN EQUATION IN THE NON-SMOOTH CASE

CMAIA 95-06 *C M Elliott, A R Gardiner, R Schätzle CRYSTALLINE CURVATURE FLOW IN A VARIATIONAL SETTING

CMAIA 95-07 *Alexander V Sobolev LIEB-THIRRING INEQUALITIES FOR THE PAULI OPERATOR IN THREE DIMENSIONS

CMAIA 95-08 *Charles M Elliott, Maurizio Paolini, Reiner Schätzle INTERFACE ESTIMATES FOR THE FULLY ANISOTROPIC ALLEN-CAHN EQUATION AND ANISOTROPIC MEAN-CURVATURE FLOW

CMAIA 95-09 *Charles M Elliott and Harald Garcke DIFFUSIONAL PHASE TRANSITIONS IN MULTICOMPONENT SYSTEMS WITH A CONCENTRATION DEPENDENT MOBILITY MATRIX

CMAIA 95-10 *David E Edmunds, Petr Gurka and Bohumír Opic ON EMBEDDINGS OF LOGARITHMIC BESSEL POTENTIAL SPACES

CMAIA 95-11 *D E Edmunds and Zhiming Zheng SOME RELATIONS BETWEEN ENTROPY AND APPROXIMATION NUMBERS

CMAIA 95-12 T A Suslina (*Copies from CMAIA Office) SPECTRAL ASYMPTOTICS OF VARIATIONAL PROBLEMS WITH ELLIPTIC CONSTRAINTS IN DOMAIN WITH PIECEWISE SMOOTH BOUNDARY

CMAIA 95-13 Zhiming Chen, *C M Elliott and Tang Qi JUSTIFICATION OF A TWO DIMENSIONAL EVOLUTIONARY GINZBURG-LANDAU SUPERCONDUCTIVITY MODEL

1994

CMAIA 94-01 *Charles M Elliott and Stig Larsson A FINITE ELEMENT MODEL FOR THE TIME-DEPENDENT JOULE HEATING PROBLEM (To appear in Math. Comp.)

CMAIA 94-02 F Bai, *C M Elliott, A Gardiner, A Spence and A M Stuart THE VISCOUS CAHN-HILLIARD EQUATION PART I: COMPUTATIONS (Nonlinearity 8 (1995) 131-160.)

CMAIA 94-03 *C M Elliott, A R Gardiner, I Kostin and Bainian Lu MATHEMATICAL AND NUMERICAL ANALYSIS OF A MEAN-FIELD EQUATION FOR THE ISING MODEL WITH GLAUBER DYNAMICS (Contemporary Mathematics 172 (1994) 217-241.)

CMAIA 94-04 A Carbery, S Wainger, J Wright (*Copies from CMAIA Office) HILBERT TRANSFORMS AND MAXIMAL FUNCTIONS ALONG VARIABLE FLAT PLANE CURVES

CMAIA 94-05 A Carbery, J Vance, S Wainger and J Wright (*Copies from CMAIA Office) A VARIANT OF THE NOTION OF A SPACE OF HOMOGENEOUS TYPE

CMAIA 94-06 Anthony Carbery, Stephen Wainger and James Wright (*Copies from CMAIA Office) HILBERT TRANSFORMS AND MAXIMAL FUNCTIONS ASSOCIATED TO FLAT CURVES ON THE HEISENBERG GROUP

(ANNOUNCEMENT- OPERATORS ASSOCIATED TO FLAT CURVES ON THE HEISENBERG GROUP - by Anthony Carbery, Stephen Wainger and James Wright.)

CMAIA 94-07 *C M Elliott and A R Gardiner PHASE FIELD EQUATIONS (Computational Techniques and Applications, CTAC 93 ed. D. Stewart, H. Gardener and D. Singleton. World Scientific, Singapore. 12-25.)

CMAIA 94-08 I N Kostin (*Copies from CMAIA Office) NON-HYPERBOLIC ATTRACTOR FOR THE CHAFFE-INFANTE PROBLEM (Comptes Rendus de l'Academie des Sciences, Paris. 1994, Vol. 319, Serie I, pp 365-370.)

CMAIA 94-09 *Charles M Elliott and Harald Garcke ON THE CAHN-HILLIARD EQUATION WITH DEGENERATE MOBILITY (To appear in SIAM J. Math. Anal.)

CMAIA 94-10 *D E Edmunds and H Triebel EIGENVALUE DISTRIBUTIONS OF SOME DEGENERATE ELLIPTIC OPERATORS: AN APPROACH VIA ENTROPY NUMBERS (Math. Ann. 299, (1994), 311-340.)

CMAIA 94-11 *D E Edmunds and A A Ilyin ASYMPTOTICALLY SHARP MULTIPLICATIVE INEQUALITIES (Bull. London. Math. Soc. 27 (1995), 71-74.)

CMAIA 94-12 *D E Edmunds and R Hurri-Syrjänen WEIGHTED POINCARÉ INEQUALITIES AND MINKOWSKI CONTENT (To appear in Proc. Roy. Soc. Edinburgh.)

CMAIA 94-13 *David E Edmunds, Vakhtang M Kokilashvili TWO-WEIGHTED INEQUALITIES FOR SINGULAR INTEGRALS (To appear in Canadian Math. Bull.) CMAIA 94-14 *D E Edmunds and H Triebel LOGARITHMIC SOBOLEV SPACES AND THEIR APPLICATIONS TO SPECTRAL THEORY (To appear in Proc. London. Math. Soc.)

CMAIA 94-15 *D E Edmunds and A A Ilyin APPROXIMATION NUMBERS OF EMBEDDINGS OF SOBOLEV SPACES (To appear in Math. Zeit.)

CMAIA 94-16 *C M Elliott and I N Kostin LOWER SEMICONTINUITY OF A NON-HYPERBOLIC ATTRACTOR FOR THE VISCOUS CAHN-HILLIARD EQUATION (To appear in Nonlinearity)

CMAIA 94-17 Michael Levitin and *Dmitri Vassiliev SPECTRAL ASYMPTOTICS, RENEWAL THEOREM, AND THE BERRY CONJECTURE FOR A CLASS OF FRACTALS

CMAIA 94-18 Jacqueline Fleckinger, Michael Levitin and *Dmitri Vassiliev HEAT EQUATION ON THE TRIADIC VON KOCH SNOWFLAKE: ASYMPTOTIC AND NUMERICAL ANALYSIS

CMAIA 94-19 *D Vassiliev VIBRATIONS OF A SHELL SUBMERGED IN FLUID

CMAIA 94-20 J Fleckinger, M Levitin and *D Vassiliev HEAT CONTENT OF THE TRIADIC VON KOCH SNOWFLAKE

CMAIA 94-21 *Tang Qi ON THE OSCILLATION NATURE OF THE MINIMIZERS OF THE GINZBURG- LANDAU ENERGY

CMAIA 94-22 *Charles M Elliott, Harald Garcke EXISTENCE RESULTS FOR DIFFUSIVE SURFACE MOTION LAWS (To appear Advances Math.Sci. Appl.)

CMAIA 94-23 J F Blowey, M I M Copetti, *C M Elliott NUMERICAL ANALYSIS OF A MODEL FOR PHASE SEPARATION OF A MULTI- COMPONENT ALLOY ( To appear in IMA J. Num. Anal.)

CMAIA 94-24 J W Cahn, *C M Elliott, A Novick-Cohen THE CAHN-HILLIARD EQUATION WITH A CONCENTRATION DEPENDENT MOBILITY: MOTION BY MINUS THE LAPLACIAN OF THE MEAN CURVATURE (To appear in Euro. J. Appl. Math.)

CMAIA 94-25 *C M Elliott and A M Stuart VISCOUS CAHN-HILLIARD EQUATION PART II: ANALYSIS (To appear J. Diff. Eqn.)

CMAIA 94-26 *P J Bushell SHAPIRO'S CYCLIC SUM (Bull. London Math. Soc., 11, pp (to appear 1994) ISSN 0024-6093.)

CMAIA 94-27 *P J Bushell, W Okrasinski ON THE MAXIMAL INTERVAL OF EXISTENCE FOR SOLUTIONS TO SOME NON- LINEAR VOLTERRA INTEGRAL EQUATIONS WITH CONVOLUTION KERNEL (Submitted for publication.)

CMAIA 94-28 *D E Edmunds, P Gurka and B Opic DOUBLE EXPONENTIAL INTEGRABILITY, BESSEL POTENTIALS AND EMBEDDING THEOREMS (To appear in Studia Math.)

CMAIA 94-29 *D E Edmunds, P Gurka and B Opic SHARPNESS OF EMBEDDINGS IN LOGARITHMIC BESSEL-POTENTIAL SPACES (To apear in Proc. Roy. Soc. Edinburgh)

CMAIA 94-30 *D E Edmunds and Miroslaw Krbec TWO LIMITING CASES OF SOBOLEV EMBEDDINGS (Akademie Ved Ceske Republiky, Matematicky Ustav, 89, 1994) (Houston Math. J. 21 (1995), 119-129.)

CMAIA 94-31 A Cianchi, *D E Edmunds and P Gurka ON WEIGHTED POINCARÉ INEQUALITIES (To appear in Math. Nachrichten.)

CMAIA 94-32 *D E Edmunds RECENT DEVELOPMENTS CONCERNING ENTROPY AND APPROXIMATION NUMBERS (In Nonlinear Analysis, Function Spaces and Applications, Vol. 5 (Prometheus Publishing House, Prague, 1994) pp. 33-76.)

CMAIA 94-33 *G J Cooper SOME LINEAR STABILITY RESULTS FOR ITERATIVE SCHEMES FOR IMPLICIT RUNGE-KUTTA METHODS (Submitted to BIT)

CMAIA 94-34 T Sritharan (*Copies from CMAIA Office) PROJECTIVE AND PART METRIC TECHNIQUES IN PROVING THE EXISTENCE OF UNIQUE POSITIVE SOLUTIONS FOR NON-LINEAR INTEGRAL EQUATIONS

CMAIA 94-35 M Van Den Berg, M Lianantonakis (*Copies from CMAIA Office) TWO-TERM ASYMPTOTICS FOR THE COUNTING FUNCTION FOR SOME PLANAR HORN-SHAPED REGIONS

CMAIA 94-36 Maria Lianantonakis (*Copies from CMAIA Office) ON THE EIGENVALUE COUNTING FUNCTION FOR WEIGHTED LAPLACE- BELTRAMI OPERATORS

CMAIA 94-37 *D E Edmunds and V Stepanov ON THE SINGULAR NUMBERS OF CERTAIN VOLTERRA INTEGRAL OPERATORS (To appear in J. Functional Analysis.)

CMAIA 94-38 R C Brown, *D E Edmunds, J Rakosnik REMARKS ON INEQUALITIES OF POINCARÉ TYPE (To appear in Czech. Math. J.)

CMAIA 94-39 *David E Edmunds, Robert M Kauffman THE NEUMANN LAPLACIAN ON GENERALIZED RIDGED DOMAINS (To appear in Math. Nachrichten.)

1993

CMAIA 93-01 *P J Bushell, W Okrasinski NONLINEAR VOLTERRA INTEGRAL EQUATIONS AND THE APÉRY IDENTITIES II (Differential Equations with Applications to Mathematical Physics. Eds. W.F. Ames, E.M. Harrell II, J.V. Herod, Academic Press 1993, 51-58.)

CMAIA 93-02 *P J Bushell POSITIVE NONLINEAR OPERATORS ASSOCIATED WITH ISOPERIMETRIC EIGENVALUE PROBLEMS IN ALGEBRAS (Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida Vol. II. Ed. V. Lakshmikantham. de Gruyter, 1994.)

CMAIA 93-03 J F Blowey and *C M Elliott A PHASE-FIELD MODEL WITH A DOUBLE OBSTACLE POTENTIAL (Motion by mean curvature ed. G Buttazzo and A Visintin, de Gruyter, 1-22, 1994)

CMAIA 93-04 Anthony Carbery and Andreas Seeger (*Copies from CMAIA Office) HOMOGENEOUS FOURIER MULTIPLIERS OF MARCINKIEWICZ TYPE

CMAIA 93-05 *P J Bushell, A Carbery AN INEQUALITY FOR A VOLTERRA INTEGRAL OPERATOR WITH CONVOLUTION KERNEL (Journal of Differential and Integral Equations. (To appear 1994/95.))

CMAIA 93-06 *Tang Qi REMARK ON A GAUGE PERIODIC GINZBURG-LANDAU ENERGY MODEL

CMAIA 93-07 *Tang Qi REMARK ON A RELATION BETWEEN MAGNETIC FIELD AND TOPOLOGICAL DEGREE OF ORDER PARAMETER IN A TYPE-II SUPERCONDUCTIVITY MODEL (Physica D69 (1993) 320-326)

CMAIA 93-08 *G J Cooper THE CONVERGENCE OF SOME ITERATIVE SCHEMES IN THE SOLUTION OF STIFF ORDINARY DIFFERENTIAL EQUATIONS (Submitted to IMA J. Num. Anal.)

CMAIA 93-09 *C M Elliott and A R Gardiner ONE DIMENSIONAL PHASE FIELD COMPUTATIONS (Numerical Analysis 1993, Ed. D.F. Griffiths and G.A. Watson (1994) 56-74. Longman Scientific & Technical.)

CMAIA 93-10 I Kostin (*Copies from CMAIA Office) LOWER SEMICONTINUITY OF A NON-HYPERBOLIC ATTRACTOR (To appear in J. London Mathematical Society)

CMAIA 93-11 I Kostin (*Copies from CMAIA Office) APPROXIMATION OF ATTRACTORS FOR NON-GRADIENT SYSTEMS (To appear in Proc. Roy. Soc. Edinburgh A.)

CMAIA 93-12 *D E Edmunds, P Gurka and B.Opic DOUBLE EXPONENTIAL INTEGRABILITY OF CONVOLUTION OPERATORS IN GENERALIZED LORENTZ-ZYGMUND SPACES (Akademie Ved Ceske Republiky, Matematicky Ustav 85, 1993.) (To appear in Indiana Univ. Math. J.)