An Introduction to Partial Differential Equations

2. Auflage 2004
ISBN: 978-0-387-00444-0
Verlag: Springer

Buch, Englisch, 434 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1810 g

Reihe: Texts in Applied Mathematics

Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Zielgruppe

Graduate

Autoren/Hrsg.

Renardy, Michael

Rogers, Robert C.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Characteristics.- Conservation Laws and Shocks.- Maximum Principles.- Distributions.- Function Spaces.- Sobolev Spaces.- Operator Theory.- Linear Elliptic Equations.- Nonlinear Elliptic Equations.- Energy Methods for Evolution Problems.- Semigroup Methods.

Über Autor(innen)