Partial differential equations
By: Jürgen Jost.
Series: Graduate texts in mathematics -- 214
Publisher: Springer
Published: 2002
Place of publication: New York
Language: eng
Number of pages: 325
Subjects: Differential equations, Partial
Description: "This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view toward nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods.

This book also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups. This book can be utilized for a one-year course on partial differential equations."--BOOK JACKET.
Notes: Includes bibliographical references (p. [317]) and index.