Generalized Functions and Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Generalized Functions and Partial Differential Equations by Prof. Avner Friedman, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Prof. Avner Friedman ISBN: 9780486152912
Publisher: Dover Publications Publication: November 30, 2011
Imprint: Dover Publications Language: English
Author: Prof. Avner Friedman
ISBN: 9780486152912
Publisher: Dover Publications
Publication: November 30, 2011
Imprint: Dover Publications
Language: English

This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the books of Gelfand and Shilov, who deal with generalized functions of any class and their use in solving the Cauchy problem. In addition, the author provides applications developed through his own research.
Geared toward upper-level undergraduates and graduate students, the text assumes a sound knowledge of both real and complex variables. Familiarity with the basic theory of functional analysis, especially normed spaces, is helpful but not necessary. An introductory chapter features helpful background on topological spaces. Applications to partial differential equations include a treatment of the Cauchy problem, the Goursat problem, fundamental solutions, existence and differentiality of solutions of equations with constants, coefficients, and related topics. Supplementary materials include end-of-chapter problems, bibliographical remarks, and a bibliography.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the books of Gelfand and Shilov, who deal with generalized functions of any class and their use in solving the Cauchy problem. In addition, the author provides applications developed through his own research.
Geared toward upper-level undergraduates and graduate students, the text assumes a sound knowledge of both real and complex variables. Familiarity with the basic theory of functional analysis, especially normed spaces, is helpful but not necessary. An introductory chapter features helpful background on topological spaces. Applications to partial differential equations include a treatment of the Cauchy problem, the Goursat problem, fundamental solutions, existence and differentiality of solutions of equations with constants, coefficients, and related topics. Supplementary materials include end-of-chapter problems, bibliographical remarks, and a bibliography.

More books from Dover Publications

Cover of the book Variations, Rondos and Other Works for Piano by Prof. Avner Friedman
Cover of the book War Is Kind and Other Poems by Prof. Avner Friedman
Cover of the book Norby the Mixed-Up Robot by Prof. Avner Friedman
Cover of the book Optimal Control Theory by Prof. Avner Friedman
Cover of the book The European Mathematical Awakening by Prof. Avner Friedman
Cover of the book The Taming of the Shrew Thrift Study Edition by Prof. Avner Friedman
Cover of the book The History of Musical Instruments by Prof. Avner Friedman
Cover of the book A Study in Scarlet and The Sign of Four by Prof. Avner Friedman
Cover of the book The Way We Live Now by Prof. Avner Friedman
Cover of the book Canoe and Boat Building by Prof. Avner Friedman
Cover of the book English Children's Costume 1775-1920 by Prof. Avner Friedman
Cover of the book An Atlas of Anatomy for Artists by Prof. Avner Friedman
Cover of the book The Official Rules by Prof. Avner Friedman
Cover of the book Wrought Iron and Its Decorative Use by Prof. Avner Friedman
Cover of the book Germinal by Prof. Avner Friedman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy