Hilbert Space Methods in Partial Differential Equations (eBook)

Ralph E. Showalter (Autor)

eBook Download: EPUB

2011
224 Seiten
Dover Publications (Verlag)
978-0-486-13579-3 (ISBN)

Infos

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.

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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.

Produkt-Details

• Erscheint lt. Verlag: 12.9.2011
• Sprache: englisch
• Maße: 150 x 150 mm
• Gewicht: 292 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: advanced math • applied math • Approximation • boundary value problems • Calculus • Cauchy problem • college math • Continuity • convergence • Convex Functions • Differential Equations • dirichlets principle • distributions • Engineering • Evolution Equations • graduate study • greens formula • Hilbert space theory • implicit evolution equations • linear algebra • Mathematics • Nonfiction • Optimization • parabolas • Physical Sciences • Physics • Reference • Sobolev spaces • Textbook • uniform boundedness
• ISBN-10: 0-486-13579-9 / 0486135799
• ISBN-13: 978-0-486-13579-3 / 9780486135793