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Partial Differential Equations in Action

Complements and Exercises

  • Sandro Salsa
  • Gianmaria Verzini

Part of the UNITEXT book series (UNITEXT, volume 87)

Also part of the La Matematica per il 3+2 book sub series (UNITEXTMAT, volume 87)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Sandro Salsa, Gianmaria Verzini
    Pages 1-80
  3. Sandro Salsa, Gianmaria Verzini
    Pages 81-147
  4. Sandro Salsa, Gianmaria Verzini
    Pages 149-214
  5. Sandro Salsa, Gianmaria Verzini
    Pages 215-271
  6. Sandro Salsa, Gianmaria Verzini
    Pages 273-331
  7. Sandro Salsa, Gianmaria Verzini
    Pages 333-403
  8. Back Matter
    Pages 405-431

About this book

Introduction

This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation. Thanks to the broad variety of exercises with complete solutions, it can be used in all basic and advanced PDE courses.

Keywords

Basic Functional Anaysis Classical partial differential equations Distribution Theory Distribution and Sobolev spaces Potential equation Variational formulation

Authors and affiliations

  • Sandro Salsa
    • 1
  • Gianmaria Verzini
    • 1
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-15416-9
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-15415-2
  • Online ISBN 978-3-319-15416-9
  • Series Print ISSN 2038-5714
  • Buy this book on publisher's site
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