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Problems on Partial Differential Equations

  • Maciej Borodzik
  • Paweł  Goldstein
  • Piotr Rybka
  • Anna Zatorska-Goldstein

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Maciej Borodzik, Paweł Goldstein, Piotr Rybka, Anna Zatorska-Goldstein
    Pages 1-26
  3. Maciej Borodzik, Paweł Goldstein, Piotr Rybka, Anna Zatorska-Goldstein
    Pages 27-77
  4. Maciej Borodzik, Paweł Goldstein, Piotr Rybka, Anna Zatorska-Goldstein
    Pages 79-134
  5. Maciej Borodzik, Paweł Goldstein, Piotr Rybka, Anna Zatorska-Goldstein
    Pages 135-177
  6. Maciej Borodzik, Paweł Goldstein, Piotr Rybka, Anna Zatorska-Goldstein
    Pages 179-245
  7. Back Matter
    Pages 247-248

About this book

Introduction

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.

Keywords

harmonic function heat equation wave equation elliptic equation parabolic equation hyperbolic equation boundary value problems classical solutions weak solutions Sobolev spaces

Authors and affiliations

  • Maciej Borodzik
    • 1
  • Paweł  Goldstein
    • 2
  • Piotr Rybka
    • 3
  • Anna Zatorska-Goldstein
    • 4
  1. 1.The University of WarsawWarsawPoland
  2. 2.The University of WarsawWarsawPoland
  3. 3.The University of WarsawWarsawPoland
  4. 4.The University of WarsawWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-14734-1
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-14733-4
  • Online ISBN 978-3-030-14734-1
  • Series Print ISSN 0941-3502
  • Series Online ISSN 2197-8506
  • Buy this book on publisher's site
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