Hilbert Space Methods in Partial Differential Equations - (Dover Books on Mathematics) by Ralph E Showalter (Paperback)
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<p/><br></br><p><b> About the Book </b></p></br></br>This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation. 1979 edition.<p/><br></br><p><b> Book Synopsis </b></p></br></br>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.<br>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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