DiBenedetto Partial Differential Equations

Second Edition
2. Auflage 2010
ISBN: 978-0-8176-4552-6
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 402 Seiten, Web PDF

Reihe: Cornerstones

This self-contained text offers an elementary introduction to partial differential equations (PDEs), primarily focusing on linear equations, and also providing some perspective on nonlinear equations. The classical treatment is mathematically rigorous with a generally theoretical layout, though indications to some of the physical origins of PDEs are made throughout. Large parts of this revised second edition have been streamlined and rewritten to incorporate years of classroom feedback, to correct errors and to improve clarity. The exposition is replete with examples, problems and solutions that complement the material to enhance understanding and solidify comprehension. The only prerequisites are advanced differential calculus and some basic L theory. The work functions as a text for advanced undergraduates and graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference for applied mathematicians and mathematical physicists.

Zielgruppe

Graduate

Autoren/Hrsg.

DiBenedetto, Emmanuele

Inhaltsverzeichnis

Preliminaries.- Quasi-Linear Equations and the Cauchy#x2013;Kowalewski Theorem.- The Laplace Equation.- Boundary Value Problems by Double-Layer Potentials.- Integral Equations and Eigenvalue Problems.- The Heat Equation.- The Wave Equation.- Quasi-Linear Equations of First-Order.- Non-Linear Equations of First-Order.- Linear Elliptic Equations with Measurable Coefficients.- DeGiorgi Classes.