Download E-books Generalized Functions and Partial Differential Equations (Dover Books on Mathematics) PDF

By Avner Friedman

This self-contained therapy develops the speculation of generalized features and the speculation of distributions, and it systematically applies them to fixing a number of difficulties in partial differential equations. a tremendous component to the textual content relies on fabric incorporated within the books of L. Schwartz, who built the idea of distributions, and within the books of Gelfand and Shilov, who care for generalized features of any type and their use in fixing the Cauchy challenge. additionally, the writer offers purposes constructed via his personal research.
Geared towards upper-level undergraduates and graduate scholars, the textual content assumes a legitimate wisdom of either actual and complicated variables. Familiarity with the elemental idea of useful research, specifically normed areas, is beneficial yet no longer priceless. An introductory bankruptcy positive aspects necessary historical past on topological areas. purposes to partial differential equations comprise a remedy of the Cauchy challenge, the Goursat challenge, basic suggestions, lifestyles and differentiality of options of equations with constants, coefficients, and similar subject matters. Supplementary fabrics comprise end-of-chapter difficulties, bibliographical feedback, and a bibliography.

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