Initial Boundary Value Problems in Mathematical Physics

Rolf Leis

ISBN 10: 3519021021 / ISBN 13: 9783519021025

Verlag: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Apr 1986, 1986

Beschreibung

Neuware -The lectures presented in this book were given at the University of Bonn in the academic year 1983/4 and in part at the University of Strathclyde, Glasgow. Their aim was to introduce graduate students of both mathematics and physics to the time dependent theory of linear equations of mathematical physics and to classical scattering theory. Using Hilbert space methods, the theory was developed so that the asymptotic behaviour of the solutions for large t could be discussed. The presentation of the theory is made using equations that are of particular interest for the mathematician and the physicist. The wave equation is considered, as are first order systems of linear acoustics and electromagnetism. This is followed by a discussion of a Schrodinger equation with a Coulomb potential, the equations of linear elasticity, the plate equation, and the equations of thermoelasticity. The reader is assumed to have a basic knowledge of functional analysis. However, for convenience, the required background is presented in the second chapter.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 276 pp. Deutsch.

Bestandsnummer des Verkäufers 9783519021025

Bibliografische Details

• Titel: Initial Boundary Value Problems in Mathematical Physics
• Verlag: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Apr 1986
• Erscheinungsjahr: 1986
• Sprache: Deutsch
• ISBN-10: 3519021021
• ISBN-13: 9783519021025
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 229B x 152 H x 16 T Millimeter Breite: 229 mm, Höhe: 152 mm, Tiefe: 16 mm
• Gewicht: 404 Gramm

Über diesen Titel

Inhaltsangabe

The lectures presented in this book were given at the University of Bonn in the academic year 1983/4 and in part at the University of Strathclyde, Glasgow. Their aim was to introduce graduate students of both mathematics and physics to the time­ dependent theory of linear equations of mathematical physics and to classical scattering theory. Using Hilbert space methods, the theory was developed so that the asymptotic behaviour of the solutions for large t could be discussed. The presentation of the theory is made using equations that are of particular interest for the mathematician and the physicist. The wave equation is considered, as are first­ order systems of linear acoustics and electromagnetism. This is followed by a discussion of a Schrodinger equation with a Coulomb potential, the equations of linear elasticity, the plate equation, and the equations of thermoelasticity. The reader is assumed to have a basic knowledge of functional analysis. However, for convenience, the required background is presented in the second chapter.