Initial Boundary Value Problems in Mathematical Physics

An introduction to both classical scattering theory and to the time-dependent theory of linear equations in mathematical physics, this text is suitable for advanced undergraduates and graduate students of physics and applied mathematics. Topics include proof of the existence of wave operators, some special equations of mathematical physics — including Maxwell equations, the linear equations of elasticity and thermoelasticity, and the plate equation — exterior boundary value problems, radiation conditions, and limiting absorption principles.
The self-contained treatment provides background for a complete understanding of all concepts, and an extensive reference list offers suggestions for further reading. Based on the author's lectures at the University of Bonn in 1983–84, this volume will prove useful to researchers as well as students.
1111991913
Initial Boundary Value Problems in Mathematical Physics

An introduction to both classical scattering theory and to the time-dependent theory of linear equations in mathematical physics, this text is suitable for advanced undergraduates and graduate students of physics and applied mathematics. Topics include proof of the existence of wave operators, some special equations of mathematical physics — including Maxwell equations, the linear equations of elasticity and thermoelasticity, and the plate equation — exterior boundary value problems, radiation conditions, and limiting absorption principles.
The self-contained treatment provides background for a complete understanding of all concepts, and an extensive reference list offers suggestions for further reading. Based on the author's lectures at the University of Bonn in 1983–84, this volume will prove useful to researchers as well as students.
14.95 In Stock
Initial Boundary Value Problems in Mathematical Physics

Initial Boundary Value Problems in Mathematical Physics

by Rolf Leis
Initial Boundary Value Problems in Mathematical Physics

Initial Boundary Value Problems in Mathematical Physics

by Rolf Leis

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Overview


An introduction to both classical scattering theory and to the time-dependent theory of linear equations in mathematical physics, this text is suitable for advanced undergraduates and graduate students of physics and applied mathematics. Topics include proof of the existence of wave operators, some special equations of mathematical physics — including Maxwell equations, the linear equations of elasticity and thermoelasticity, and the plate equation — exterior boundary value problems, radiation conditions, and limiting absorption principles.
The self-contained treatment provides background for a complete understanding of all concepts, and an extensive reference list offers suggestions for further reading. Based on the author's lectures at the University of Bonn in 1983–84, this volume will prove useful to researchers as well as students.

Product Details

ISBN-13: 9780486497419
Publisher: Dover Publications
Publication date: 07/17/2013
Series: Dover Books on Mathematics Series
Edition description: Reprint
Pages: 272
Product dimensions: 5.90(w) x 9.00(h) x 0.60(d)

About the Author


Rolf Leis is Professor Emeritus at the Institute for Applied Mathematics, University of Bonn.

Table of Contents

1. Introduction.- 2. Linear operators.- 3. The wave equation.- 4. The spectrum of A and boundary value problems.- 5. The free space problem for the wave equation.- 6. The wave equation continued: time-asymptotic behaviour of the solutions.- 7. Linear acoustics.- 8. Maxwell’s equations.- 9. Linear acoustics and Maxwell’s equations continued.- 10. A Schrödinger equation.- 11. Linear elasticity.- 12. The plate equation.- 13. Linear thermoelasticity.- A.1 Proof of Theorem 5.6.- A.2 Proof of Korn’s inequality.- References.- Notation.
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