Partial differential equations (with 25 figures)

The book identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. It discusses real functions of several variables, the Cauchy-Kowalevski theorem, a second proof foe existence of solutions of the initial value problem for symme...

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Auteur principal: Fritz John (1910-
Format: Livre
Langue:Undetermined
Publié: New York Spriger-Verlag 1981
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
Description
Résumé:The book identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. It discusses real functions of several variables, the Cauchy-Kowalevski theorem, a second proof foe existence of solutions of the initial value problem for symmetric hyperbolic systems, solutions of the Dirichlet problem in higher dimension, a proof of Widder's theorem on non-negative solutions of the equation. Finally, the book presents H. Lewy's construction of a linear differential equation without solutions