Table Of Content

Mathematical Methods in the Applied Sciences CONTENTS VOLUME 14, Nos 1-9 Issue No. 1, January 1991 Non-linear Flexings in a Periodically Forced Floating Beam: A. C. Lazer and Ls cosh tokeedvenvsl dunevdtwesehesdeccenndanesseisatce s l The Three-dimensional Wigner—Poisson Problem: Existence, Uniqueness and Approximation: F. Brezzi and P. A. Markowich ....................205. 35 Dynamical Shape Control and the Stabilization of Non-linear Thin Rods: rn cas. ciboeeecsbedbackannedwnebesasetons 63 Issue No. 2, February 1991 Boundary Value Problems to a Certain Class of Non-linear Diffusion ncn ccc inkcedeegeknseet hhee weeadrdennscnes ob 79 The Global Existence of Solutions to the Equations of Motion of a Viscous Gas with an Artificial Viscosity: J. Neustupa............0.. c.e.ce. e.ee. .ee e 93 A Half-space Problem for a Non-linear Boltzmann Equation Arising in Semmsooniucter Diatietics: F. POUGAME ........ 22. cccccccccccccccsesecees 121 Global Existence of Weak Solutions for a System of Non-linear Boltzmann Equations in Semiconductor Physics: F. J. Mustieles..................... 139 Issue No. 3, March 1991 An Artificial Boundary Condition for an Advection—Diffusion Equation: J.-P. Gi thdeti ne dncdGhEes eWhsEAntRheeseeeCeesRieeRnneEskaKses é 155 On the Mildly Degenerate Kirchhoff String: A. Arosio and S. Garavaldi...... 177 Indexed or abstracted by Applied Mechanics Reviews, Boundary Elements Abstracts, Cambridge Scientific Abstracts, Compumath Citation Index, Current Contents, Engineering Index, Engineering Societies Library, INSPEC, Mathematical Reviews, SCISEARCH database, VINITI-USSR Academy of Science and Zentralblatt fiir Mathematik. iv Volume Contents The Blow-up Rate for the Heat Equation with a Non-linear Boundary Condition: M. Fila Entropy Compactification in Lagrangean Gas Dynamics: I. Vecchi Issue No. 4, May 1991 An Approximation of the Thermal Field in a Continuous Casting Process of a Thin Metal Layer: E. Comparini and C. Manni Resonances in Periodic Media: P. Werner Optimal Control of Thermomechanical Phase Transitions in Shape Memory Alloys: Necessary Conditions of Optimality: M. Brokate and J. Sprekels . . . 265 Differential Stability of Solutions to Parametric Optimization Problems: M. Rao and J. Sokolowski Issue No. 5, July 1991 A Uniqueness Theorem in the Dynamical Theory of Piezoelectricity: A. Morro and B. Straughan Charge Transport in Semiconductors with Degeneracy Effects: F. Poupaud and C. Schmeiser The Problem of Equivalence in Statistical Mechanics in Equilibrium: J. Schroter and R. Wegener Asymptotic Completeness in Optical Scattering: F. Jochmann On the Theory of Cylindrical Resonators: Y. V. Shestopalov Issue No. 6, August 1991 On a Class of Ill-posed Non-linear Integra! Equations Arising in the Inter- pretation of Indirect Measurements: B. Hofmann Diffraction by an Acoustically Transmissive or an Electromagnetically Dielectric Half-plane: A. D. Rawlins On the Linear Piezoelectricity of Composite Materials: N. Turbé and G. A. Blow-up for Semilinear Parabolic Equations with a Gradient Term: P. Quittner 413 Global Smooth Solution for Coupled Non-linear Wave Equations: G. Boling and T. Shaobin Time Decay of Solutions of Semilinear Strongly Damped Generalized Wave Equations: P. Biler Addendum An Integral Operator Related to the Stokes System in Exterior Domains: P. Deuring Volume Contents v Issue No. 7, September 1991 Physical Model, Theoretical Aspects and Applications of the Flight of a Ball in the Atmosphere. Part I: Modelling of Forces and Torque, and Theoretical Prospects: P. M. Fuchs Physical Model, Theoretical Aspects and Applications of the Flight of a Ball in the Atmosphere. Part II: Theoretical Aspects in the Case of Vertical Angular Frequency and Applications: P. M. Fuchs Local Existence for Solutions of Fully Non-linear Wave Equations: P. Lesky Jr 483 Generalized Limiting Absorption Method and Multidimensional Inverse Scattering Theory: R. Weder Issue No. 8, October 1991 Wiener-Hopf Equations for Waves Scattered by a System of Parallel Sommer- feld Half-planes: E. Meister, K. Rottbrand and F.-O. Speck A Trace Theorem for Solutions of Linear Partial Differential Equations: G. Bao and W. W. Symes On Mathematical Modelling of Absorption and Dispersion of Seismic Waves for Low Frequencies: L. von Wolfersdorf and L. Rost Convergence Analysis for a Multiplicatively Relaxed EM Algorithm: A. N. Issue No. 9, November 1991 The Two-dimensional Wigner-Poisson Problem for an Electron Gas in the Charge Neutral Case: A. Arnold and F. Nier Solutions of the Equation a" fix,Q=L (x,t) f(x+ S,(x, t). Exact Solutions of Some Partial Differential Equations in Mechanics and Physics: H. I. Abdel-Gawad Green’s Contact Functions for Heat Conduction of Two Half-spaces and Half- planes with Application to Several Boundary Contact Problems: L. Jentsch .6 33 Author Index