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**About this book :- **
**Differential Equations with Applications to Mathematical Physics ** written by
** WF Ames, EM Harrell, JV Herod **.

Since the days of Newton, Leibniz, Euler and Laplace, mathematical physics has been inseparably bound to differential equations. Physical and engineering problems continue to provide very important models for mathematicians studying differential equations, as well as valuable intuition as to the solutions and properties. In recent years, advances in computation and in nonlinear functional analysis have brought rigorous theory closer to realistic applications, and a mathematical physicist must now be quite knowledgeable in these areas.

In this volume the authors have selected several articles on the forefront of research in differential equations and mathematical physics. Authors have made an effort to ensure that the articles are readable as well as topical, and have been fortunate to include as contributions many luminaries of the field as well as several young mathematicians doing creative and important work. Some of the articles are closely tied to work presented at the International Conference on Differential Equations and Mathematical Physics, a large conference which the editors organized in March, 1992, with the support and sponsorship of the National Science Foundation, the Institute for Mathematics and its Applications, the Georgia Tech Foundation, and IMACS.

Other articles were submitted and selected later after a refereeing process, to ensure coherence of this volume. The topics on which this volume focuses are: nonlinear differential and integral equations, semiclassical quantum mechanics, spectral and scattering theory, and symmetry analysis.

(WF Ames, EM Harrell, JV Herod)

**Book Detail :- **
** Title: ** Differential Equations with Applications to Mathematical Physics
** Edition: **
** Author(s): ** WF Ames, EM Harrell, JV Herod
** Publisher: ** Academic Press Inc
** Series: ** Mathematics in Science and Engineering 192
** Year: ** 1993
** Pages: ** 363
** Type: ** PDF
** Language: ** English
** ISBN: ** 0120567407,9780120567409
** Country: ** US
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**About Author :- **
The author ** James V. Herod **, School of Mathematics, Georgia Tech, Atlanta 30332-0160, US

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**Book Contents :- **
**Differential Equations with Applications to Mathematical Physics ** written by
** WF Ames, EM Harrell, JV Herod **
cover the following topics.
'

An Elementary Model of Dynamical Tunneling, J. Asch and P. Duclos

Discrete Schrodinger Operators with Potentials Generated by Substitutions, , Jean Bellissard, Anton Bovier and Jean-Michel Ghez

Wave Packets Localized on Closed Classical Trajectories, S. De Bikvre, J. C. Houard and M. Irac-Astaud

Lower Bounds on Eigenfunctions and the First Eigenvalue Gap, R. M. Brown, P. D. Hislop and A. Martinez

Nonlinear Volterra Integral Equations and The Ap6ry Identities, P. J. Bushel1 and W. Okrasiriski

Connections Between Quantum Dynamics and Spectral Properties of Time-Evolution Operators, Jean-Michel Combes

Quasilinear Reaction Diffusion Models for Exothermic Reaction, W. E. Fitzgibbon and C. B. Martin

A Maximum Principle for Linear Cooperative Elliptic Systems, J. Fleckinger, J. Hernandez and F. de Thklin

Exact Solutions to Flows in Fluid Filled Elastic Tubes, D. Fusco and N. Manganaro

Spectral Deformations and Soliton Equations, F. Gesztesy and R. Weikard

Nuclear Cusps, Magnetic Fields and the Lavrentiev Phenomenon in Thomas-Fermi Theory, G. R. Goldstein, J. A. Goldstein and Chien-an Lung

On Schriidinger Equation in Large Dimension and Connected Problems in Statistical Mechanics, Bernard Helffer

Regularity of Solutions for Singular Schrodinger Equations, Andreas M. Hinz

Linearization of Ordinary Differential Equations, Nail H. Ibragimov

Expansion of Continuous Spectrum Operators in Terms of Eigenprojections, Robert M. Kauffman

On Unique Continuation Theorem for Uniformly Elliptic Equations with Strongly Singular Potentials, Kazuhiro Kurata

Topics in the Spectral Methods in Numerical Computation - Product Formulas, S. T. Kuroda

Atoms in the Magnetic Field of a Neutron Star, Elliott H. Lieb and Jan Philip Solovej

Algebraic Riccati Equations Arising in Game Theory and in HW-Control Problems for a Class of Abstract Systems, C. McMillan and R. Triggiani

Symmetries and Symbolic Computation, M. C. Nucci

On Stabilizing Ill-Posed Cauchy Problems for the Navier-S tokes Equations, L. E. Payne

Evans’ Functions, Melnikov’s Integral, and Solitary Wave Instabilities, Robert L. Pego and Michael 1. Weinstein

Ground States of Degenerate Quasilinear Equations, James Serrin and Henghui Zou

Gradient Estimates, Rearrangements and Symmetries, Giorgio Talenti

Purely Nonlinear Norm Spectra and Multidimensional Solitary Waves, Henry A. Warchall

On Gelfand-Dickey Systems and Inelastic Solitons, Rudi Weikard

Inertial Manifolds and Stabilization in Nonlinear Elastic Systems with Structural Damping, Yuncheng You

Index

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