Authors:
- Emphasizes the modern approach to PDEs based on the notion of weak solutions and Sobolev spaces
- Covers a wide spectrum of topics in PDEs and Mathematical Physics
- For many problems the reader is expected to prove simple statements
Part of the book series: Problem Books in Mathematics (PBM)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
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.
Reviews
“This book represents an important tool in the study of PDEs for the students as well for the teachers by adopting ‘a perspective on PDEs that is neither too theoretical nor too practical’ representing ‘the perfect companion to a broad spectrum of courses’.” (Cristian Chifu, zbMATH 1421.35001, 2019)
Authors and Affiliations
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The University of Warsaw, Warsaw, Poland
Maciej Borodzik, Paweł Goldstein, Piotr Rybka, Anna Zatorska-Goldstein
About the authors
Paweł Goldstein, the University of Warsaw, Warsaw, Poland
Piotr Rybka, the University of Warsaw, Warsaw, Poland
Anna Zatorska-Goldstein, the University of Warsaw, Warsaw, Poland
Bibliographic Information
Book Title: Problems on Partial Differential Equations
Authors: Maciej Borodzik, Paweł Goldstein, Piotr Rybka, Anna Zatorska-Goldstein
Series Title: Problem Books in Mathematics
DOI: https://doi.org/10.1007/978-3-030-14734-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-14733-4Published: 16 May 2019
eBook ISBN: 978-3-030-14734-1Published: 07 May 2019
Series ISSN: 0941-3502
Series E-ISSN: 2197-8506
Edition Number: 1
Number of Pages: XVI, 248
Number of Illustrations: 2 b/w illustrations, 4 illustrations in colour