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Degenerate Parabolic Equations

  • Emmanuele DiBenedetto
Book

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xv
    PDF
  2. Notation and function spaces
    Emmanuele DiBenedetto
    Pages 1-15
  3. Weak solutions and local energy estimates
    Emmanuele DiBenedetto
    Pages 16-40
  4. Hölder continuity of solutions of degenerate parabolic equations
    Emmanuele DiBenedetto
    Pages 41-76
  5. Hölder continuity of solutions of singular parabolic equations
    Emmanuele DiBenedetto
    Pages 77-116
  6. Boundedness of weak solutions
    Emmanuele DiBenedetto
    Pages 117-155
  7. Harnack estimates: the case p>2
    Emmanuele DiBenedetto
    Pages 156-183
  8. Harnack estimates and extinction profile for singular equations
    Emmanuele DiBenedetto
    Pages 184-214
  9. Degenerate and singular parabolic systems
    Emmanuele DiBenedetto
    Pages 215-244
  10. Parabolic p-systems: Hölder continuity of Du
    Emmanuele DiBenedetto
    Pages 245-291
  11. Parabolic p-systems: boundary regularity
    Emmanuele DiBenedetto
    Pages 292-315
  12. Non-negative solutions in ΣT. The case p>2
    Emmanuele DiBenedetto
    Pages 316-333
  13. Non-negative solutions in ∑T The case 1<p<2
    Emmanuele DiBenedetto
    Pages 334-380
  14. Back Matter
    Pages 381-387
    PDF

About this book

Keywords

Boundary value problem Cauchy problem compactness differential equation integral iteration partial differential equation stability

Authors and affiliations

  • Emmanuele DiBenedetto
    • 1
    • 2
  1. 1.Northwestern UniversityUSA
  2. 2.University of Rome IIItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0895-2
  • Copyright Information Springer-Verlag New York Inc. 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94020-5
  • Online ISBN 978-1-4612-0895-2
  • Series Print ISSN 0172-5939
  • Buy this book on publisher's site