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＜電子ブック＞
Problems on Partial Differential Equations / by Maciej Borodzik, Paweł Goldstein, Piotr Rybka, Anna Zatorska-Goldstein
(Problem Books in Mathematics. ISSN:21978506)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	XVI, 248 p. 6 illus., 4 illus. in color : online resource
著者標目	*Borodzik, Maciej author Goldstein, Paweł author Rybka, Piotr author Zatorska-Goldstein, Anna author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Functional analysis FREE:Differential Equations FREE:Functional Analysis
一般注記	Preliminaries -- Distributions, Sobolev spaces and Fourier transform -- Common methods -- Elliptic equations -- Evolution equations -- Bibliography This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solutions and Sobolev spaces. In numerous problems, the student is asked to prove a given statement, e.g. to show the existence of a solution to a certain PDE. Usually there is no closed-formula answer available, which is why there is no answer section, although helpful hints are often provided. This textbook offers a valuable asset for students and educators alike. As it adopts a perspective on PDEs that is neither too theoretical nor too practical, it represents the perfect companion to a broad spectrum of courses HTTP:URL=https://doi.org/10.1007/978-3-030-14734-1

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