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Hilbert Space Methods in Partial Differential Equations

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Hilbert Space Methods in Partial Differential Equations

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.
hilbert space theory;differential equations;distributions;sobolev spaces;boundary value problems;evolution equations;implicit evolution equations;optimization;approximation;calculus;physics;engineering;applied math;mathematics;graduate study;college math;advanced math;reference;textbook;nonfiction;physical sciences;linear algebra;uniform boundedness;convergence;continuity;greens formula;cauchy problem;parabolas;dirichlets principle;convex functions; Hilbert Space Theory; Boundary Value Problems; Evolution equations; Optimization
$12.95
Hilbert Space Methods in Partial Differential Equations—
$12.95

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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.

Reprint of the Pitman Publishing, London, 1979 edition.
hilbert space theory;differential equations;distributions;sobolev spaces;boundary value problems;evolution equations;implicit evolution equations;optimization;approximation;calculus;physics;engineering;applied math;mathematics;graduate study;college math;advanced math;reference;textbook;nonfiction;physical sciences;linear algebra;uniform boundedness;convergence;continuity;greens formula;cauchy problem;parabolas;dirichlets principle;convex functions; Hilbert Space Theory; Boundary Value Problems; Evolution equations; Optimization
Hilbert Space Methods in Partial Differential Equations | Dover Publications