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Problems on partial differential equations

Contributor(s): Borodzik, Maciej | Goldstein, Paweł | Rybka, Piotr | Zatorska-Goldstein, AnnaMaterial type: TextTextSeries: Problem books in mathematicsPublication details: New York, NY : Springer Berlin Heidelberg, 2019. Description: xvi, 248 pages : illustrations (some color), ; 24cmISBN: 9783030147334Subject(s): Differential equations, Partial -- Problems, exercises, etc | Functional analysis | Partial Differential Equations | Harmonic function | Elliptic equation | Parabolic equation | Boundary value problems | Sobolev spacesDDC classification: 517.95 Online resources: Electronic version | Table of content | Reviews Summary: 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.
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Includes bibliographical references.

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.

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