Hilbert Space Methods in Partial Differential Equations (Dover Books on Mathematics) (Paperback)

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Description


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.
Product Details
ISBN: 9780486474434
ISBN-10: 0486474437
Publisher: Dover Publications
Publication Date: March 18th, 2010
Pages: 212
Language: English
Series: Dover Books on Mathematics