Partial differential equations
By: Michael E. Taylor
Edition: 2nd ed.
Series: Applied mathematical sciences -- v. 115-<116>; Applied mathematical sciences (Springer-Verlag New York Inc.) -- v. 115-<116>
Publisher: Springer
Published: 2011
Place of publication: New York
Language: eng
Number of pages: 676
ISBN-13: 9781441970541; 9781441970558; 9781441970510; 9781441970527; 9781441970480; 9781441970497
Subjects: Partial Differential equations
Other titles: Partial differential equations, basic theory.; Qualitative studies of linear equations.; Nonlinear equations.
Description: This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE. --
Notes: "There are seven additional chapters in this edition, two in Volume I, two in Volume II, and three in Volume III. In addition, several other sections have been substantially rewritten, and numerous others polished to reflect insights gained through the use of these books over time"--P. xxii.

Includes bibliographical references and index.
Table of contents: title: 1. Basic theory; title: 2. Qualitative studies of linear equations; title: 3. Nonlinear equations.