Distributions, Partial Differential Equations, and Harmonic Analysis

Dorina Mitrea

Dorina Mitrea
Distributions, Partial Differential Equations, and Harmonic Analysis [PDF ebook]

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Copertina di Dorina Mitrea: Distributions, Partial Differential Equations, and Harmonic Analysis (PDF)

The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam/’e and Schrodinger operators.

€71.39

Tabella dei contenuti

Introduction.- Summary of Topological and Functional Analysis Results.- Weak Derivatives.- The Space D0() of Distributions.- The Fourier Transform.- The Space of Tempered Distributions.- Fundamental Solution.- The Laplace Operator.- The Heat Operator.- The Wave Operator.- The Lame Operator.- Fundamental Solutions for Other Operators.- Hypoelliptic operators.- Sobolev spaces.- Appendix.- References.

Circa l’autore

Dorina Mitrea is a Professor at University of Missouri in the Mathematics Department.

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Lingua Inglese ● Formato PDF ● Pagine 460 ● ISBN 9781461482086 ● Casa editrice Springer New York ● Città NY ● Paese US ● Pubblicato 2013 ● Scaricabile 24 mesi ● Moneta EUR ● ID 2835823 ● Protezione dalla copia Adobe DRM

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