Hilbert Space Methods in Partial Differential Equations

by Ralph E. Showalter

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. Reprint of the Pitman Publishing, London, 1979 edition. Availability Instant ISBN 10 0486135799 ISBN 13 9780486135793 Author/Editor Ralph E. Showalter Format eBook Page Count 224 Dimensions 6 x 9

224 pages, Kindle Edition

First published January 1, 2011