Title: Hilbert Space Methods in Partial Differential Equations (Dover Books on Mathematics)
Publisher: Dover Publications
Publication Date: 2010
Language: English
ISBN 10: 0486474437
ISBN 13: 9780486474434
Binding: Paperback
Condition: new

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Synopsis

This text surveys the principal methods of solving partial differential equations. Suitable for graduate students of mathematics, engineering, and physical sciences, it requires knowledge of advanced calculus.
The initial chapter contains an elementary presentation of Hilbert space theory that provides sufficient background for understanding the rest of the book. Succeeding chapters introduce distributions and Sobolev spaces and examine boundary value problems, first- and second-order evolution equations, implicit evolution equations, and topics related to optimization and approximation. The text, which features 40 examples and 200 exercises, concludes with suggested readings and a bibliography.

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