Table Of Content

Mathematical Methods in the Applied Sciences CONTENTS VOLUME 20, Nos 1-18 Issue No. 1, 10 January 1997 The Blow-up Rate for a System of Heat Equations with Non-trivial Coupling at the Boundary: J. D. Rossi Singular Stress Behavior in a Bonded Hereditarily-elastic Aging Wedge. I: Problem Statement and Degenerate Case: S. E. Mikhailov Singular Stress Behavior in a Bonded Hereditarily-elastic Aging Wedge. II: Generai Heredity: S. E. Mikhailov Stefan—Boltzmann Radiation on Non-convex Surfaces: T. Tiihonen Irreversible Phase Transitions in Steel: D. H6mberg Dissipative Feedback Synthesis for a Singularly Perturbed Model of a Piston Driven Flow of a Non-Newtonian Fluid: D. Sevéovié Issue No. 2, 25 January 1997 Boundary Integral Equation Method in the Steady State Oscillation Problems for Anisotropic Bodies: D. Natroshvili The Cruciform Crack Problem and Sigmoidal Transformations: D. Elliott On Representation Formulas and Radiation Conditions: M. Costabel and On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation: K. Ono Existence of a Classical Solution for a Multidimensional Filtration Problem: R. Gianni and P. Mannucci Indexed or abstracted by Applied Mechanics Reviews, Boundary Elements Abstracts, Cambridge Scientific Abstracts, Compumath Citation Index, CC/Phys. Chem & Earth Sciences, Engineering Index, Engineering Societies Library, INSPEC, Mathematical Reviews, Research Alert, SCISEARCH database, VINITI-USSR Academy of Science and Zentralblatt fiir Mathematik iv Volume Contents Issue No. 3, February 1997 Attractors and Approximate Inertial Manifolds for the Generalized Benjamin—Bona—Mahony Equation: B. Wang Error Estimates for the Boundary Element Approximation of a Contact Problem in Elasticity: W. Spann Korn’s Inequalities for Junctions of Spatial Bodies and Thin Rods: S. A. Nazarov Finite Element Methods for the Stokes System in Three-dimensional Exterior Domains: P. Deuring Asymptotic Behaviour of Solutions to some Pseudoparabolic Equations: G. Karch Issue No. 4, 10 March 1997 Inverse Problems for Identification of Memory Kernels in Viscoelasticity: J. Janno and L. Von Wolfersdorf On ‘Power-logarithmic’ Solutions to the Dirichlet Problem for the Stokes System in a Dihedral Angle: V. A. Kozlov and V. Maz’ya On the Heat Convection Equations with Dissipation Term in Regions with Moving Boundaries: G. Lukaszewicz and P. Krzyzanowski Control of Matter Waves in Adjacent Potential Wells: K. Kime Issue No. 5, 25 March 1997 Editorial A New Algorithm in Electromagnetic Inverse Scattering Theory with an Application to Medical Imaging: D. Colton, P. Monk and R. Kress... .. Adaptive Coupling and Fast Solution of FEM-BEM Equations for Parabolic—Elliptic Interface Problems: P. Mund and E. P. Stephan The Solvability of Boundary Equations in Mixed Problems for Non- stationary Maxwell System: I. Yu. Chudinovich Parabolic Problems and Boundary Integral Equations: E. A. Baderko The Ap-Version of the Boundary Element Method in *: The Basic Approxi- mation Results: M. Maischak and E. P. Stephan Issue No. 6, April 1997 Difference Methods for Quasilinear 2D-Diffusion Problems in Toroidal Configurations: K. Graf Finck von Finckenstein and H. Forkel The Existence of the Global Generalized Solution of the System of Equa- tions Describing Suspension Motion: O. Anoshchenko and A. Boutet de Monvel-Berth Volume Contents v On the Existence of Trapped Modes in Channels of Arbitrary Cross-section: ii. a5 5.e cone a ew oe RES Cen 5 eked ae Multiple Solutions for a Class of Hemivariational Inequalities Involving Periodic Energy Functionals: D. Goeleven, D. Montreanu and P. D. Panagiotopoulos Issue No. 7, 10 May 1997 On the Long-time Behaviour of Solutions to a Conservation Law with Memory: E. Feireisl and H. Petzeltova Characteristic Symmetric Hyperbolic Systems and Dissipation: Global Existence and Asymptotics: P. Secchi Classical Global Solutions for Non-linear Klein-Gordon—Schrédinger Equations: W. Baoxiang Uniqueness for Unbounded Classical Solutions of the MHD Equations: N. Ishimura and M. Nakamura Positive Steady-state Solutions of a Non-linear Reaction—Diffusion System: H. Chen Sommerfeld Diffraction Problems with Oblique Derivatives: A. M. Santos and F.-O. Speck Issue No. 8, 25 May 1997 Control and Game Theoretical Treatment of a Cost-Security Model for Disarmament: M. Jathe, W. Krabs and J. Scheffran On Stationary Solutions of the Relativistic Vlasov-Maxwell System: P. Braasch Convergence of Solutions of the Landau Equations in the Collisionless Limit: M.-Q. Zhan On Weak Solutions to the Non-stationary van Roosbroeck’s System with Discontinuous Permittivities: J. Frehse and J. Naumann On the Continuous Dependence of the Exterior Dirichlet Problem on the Boundary: P. Hahner Study of the Free Streaming Operator in Slab Geometry in Dependence of the Boundary Conditions: S. Totaro Issue No. 9, June 1997 Estimating Vu in Terms of div u, curl u, either (v, u) or vu and the Topology: W. von Wahl and J. Bolik A Functional Model for Quantum Mechanics: Unbounded Operators: V. V. Kisil and E. Ramirez de Arellano vi Volume Contents A Two-dimensional Stationary Induction Heating Problem: S. Clain and R. Touzani A Singular Problem in Electrolytes Theory: P. Biler and T. Nadzieja Analysis of a Non-hyperbolic System Modeling Two-phase Flows Part |: The Effects of Diffusion and Relaxation: N. Bedjaoui and L. Sainsaulieu Issue No. 10, 10 July 1997 Asymptotics as t+ 00 of a Solution to the Periodic Cauchy Problem for the Damped Boussinesq Equation: V. Varlamov The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-plane: S. N. Chandler-Wilde On a Non-symmetric Problem in Electrochemical Machining: E. Wegert and D. Oestreich On the Finiteness of the Number of Determining Elements for von Karman Evolution Equations: I. D. Chueshov On a Boundary Value Problem of the Biharmonic Equation: K. Girlebeck and U. Kahler On the Dirichlet Problem for the Two-dimensional Biharmonic Equation: C. Constanda Issue No. 11, 25 July 1997 A Singular Transmission Problem: Alfvenic Resonance in Plasmas: M. Nunez and L. A. Tristan On a Class of Overdetermined Eigenvalue Problems: A. Henrot and G. A. Philippin A Linear Thermoelastic Plate Equation with Dirichlet Boundary Condition: J. M. Rivera and Y. Shibata A Threshold Result for a Non-local Parabolic Equation: Y. Wu The Incompressible Limit and the Initial Layer of the Compressible Euler Equation in {: T. Iguchi Stability Analysis of Navier-Stokes Flows in Annuli: H. Fujita, H. Morimoto and H. Okamoto Issue No. 12, August 1997 Homogenization of a Spectral Problem for a Pile Foundation Structure: I. Aganovic, K. Delini¢ and Z. Tutek Rawlins’ Problem for Half-plane Diffraction: Its Generalized Eigenfunctions with Real Wave Numbers: K. Rottbrand Volume Contents Vii Spectral Theory for the Wave Equation in Two Adjacent Wedges: E. Meister, F. Ali Mehmeti and K. Mihalindi¢ The Dam Problem for Nonlinear Darcy’s Laws and Nonlinear Leaky Boundary Conditions: M. Chipot and A. Lyaghfouri Issue No. 13, 10 September 1997 Global Existence for Degenerate Parabolic Equations with a Non-local Forcing: J. R. Anderson and K. Deng Travelling Waves in Plasma Sustained by a Laser Beam: B. Kazmierczak . . 1089 Multidimensional Characteristic Galerkin Methods for Hyperbolic Systems: S. Ostkamp Stress L*-estimates and the Uniqueness Problem for the Quasistatic Equations to the Model of Bodner-Partom: K. Chelminski Algebraic Properties of Multilinear Constraints: A. Heyden and K. Astrom 1135 Issue No. 14, 25 September 1997 Convex Domains with Stationary Hot Spots: M. Chamberland and D. Siegel Exponential Decay for the One-dimensional Wave Equation with Internal Pointwise Damping: A. Y. Khapalov Factorization of a Class of Matrices Generated by Sommerfeld Diffraction Problems with Oblique Derivatives: A. B. Lebre, A. Moura Santos and 1185 A Generalized Temperature-dependent, Non-Newtonian Hele-Shaw Flow in Injection and Compression Moulding: J. Steinbach 1199 On Quasi-linear Schrodinger—Poisson Systems: R. Illner, H. Lange, B. Toomire and P. Zweifel 1223 On the Validity of the Degenerate Ginzburg-Landau Equation: A. Shepeleva . 1239 Issue No. 15, October 1997 The Dirichlet Problem for Stokes Equation in a Domain Exterior to an I St is an i vga eee taka de wade win Long-time Behaviour of Ferromagnetic Spin Chain Equation: Global Attractor and its Dimension: Li Yongsheng and Chen Qingyi On Stationary Schrodinger—Poisson Equations Modelling an Electron Gas with Reduced Dimension: H. Kaiser and J. Rehberg Existence Results for Non-autonomous Multiple-fragmentation Models: D. J. McLaughlin, W. Lamb and A. C. McBride Global Solutions of the Laplace Equation with a Nonlinear Dynamical Boundary Condition: M. Fila and P. Quittner viii Volume Contents Spatial Bounds and Growth Estimates for the Heat Equation with Three Relaxation Times: R. Quintanilla Continuous Sedimentation of Multi-component Particles: $. Diehl Issue No. 16, 10 November 1997 A Non-linear Parabolic Control Problem with Non-homogeneous Boundary Condition—Convergence of Galerkin Approximation: A. Debinska- Nagorska, A. Just and Z. Stempien Asymptotic Solution of a Non-linear Wave Motion in an Electron Plasma: R. R. Sharma, B. D. Pandey, P. Sharma and M. Gaur Subsonic Solutions of Hydrodynamic Model for Semiconductors: L.-M. Yeh Numerical Solution of Viscoplastic Constitutive Equations with Internal State Variables: Part I: Algorithms and Implementation: P. Fritzen and J. Wittekindt On a Fractional Partial Differential Equation with Dominating Linear Part II: G. Gripenberg, S.-O. Londen and J. Priiss................... The Amount of Non-uniqueness for Factored Equations with Euler Poisson—Darboux Factors: J. A. Goldstein, J. H. Lightbourne, III and J. T. Sandefur, Jr Issue No. 17, 25 November 1997 Asymptotic Spatial Homogeneity of Solutions to Conservation Laws with Memory in Several Space Dimensions: E. Feireis! and H. Petzeltova. .. . Generalized Linear Elasticity in Exterior Domains—I: Radiation Problems: N. Weck and K. J. Witsch Generalized Linear Elasticity in Exterior Domains—II: Low Frequency Asymptotics: N. Weck and K. J. Witsch Numerical Methods for Scattering Problems by Curved Gratings at High Frequencies: H. Ammari and P. Ferreira Issue No. 18, December 1997 The 2-D Neumann Problem in an Exterior Domain Bounded by Closed and Open Curves: P. A. Krutitskii Classification of Smooth Solutions to 2x2 Hyperbolic Systems with Boundary Damping: P. Bergeret Half-space Fourier Transform in Application to Non-linear Hyperbolic Initial-boundary-value Problem: Low Regularity Solutions: A. Lada. ... 1599 Clifford Analysis on Spheres and Hyperbolae: J. Ryan AUTHOR INDEX