Isolated Singularities in Partial Differential Inequalities
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Isolated Singularities in Partial Differential Inequalities

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eBook - PDF

Isolated Singularities in Partial Differential Inequalities

Book details
Table of contents
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About This Book

In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities. Here, the authors take the unique approach of investigating differential inequalities rather than equations, the reason being that the simplest way to study an equation is often to study a corresponding inequality; for example, using sub and superharmonic functions to study harmonic functions. Another unusual feature of the present book is that it is based on integral representation formulae and nonlinear potentials, which have not been widely investigated so far. This approach can also be used to tackle higher order differential equations. The book will appeal to graduate students interested in analysis, researchers in pure and applied mathematics, and engineers who work with partial differential equations. Readers will require only a basic knowledge of functional analysis, measure theory and Sobolev spaces.

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Yes, you can access Isolated Singularities in Partial Differential Inequalities by Marius Ghergu,Steven D. Taliaferro in PDF and/or ePUB format, as well as other popular books in Matemáticas & Matemáticas general. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2016
ISBN
9781316496893
Topic
Matemáticas
Subtopic
Matemáticas general

Table of contents

  1. Cover
  2. Half title
  3. Series
  4. Title
  5. Copyright
  6. Contents
  7. Preface
  8. 1 Representation formulae for singular solutions of polyharmonic and parabolic inequalities
  9. 2 Isolated singularities of nonlinear second-order elliptic inequalities
  10. 3 More on isolated singularities for semilinear elliptic inequalities
  11. 4 Elliptic inequalities for the Laplace operator with Hardy potential
  12. 5 Singular solutions for second-order nondivergence type elliptic inequalities
  13. 6 Isolated singularities of polyharmonic inequalities
  14. 7 Nonlinear biharmonic inequalities
  15. 8 Initial blow-up for nonlinear parabolic inequalities
  16. 9 Semilinear elliptic systems of differential inequalities
  17. 10 Isolated singularities for nonlocal elliptic systems
  18. 11 Isolated singularities for systems of parabolic inequalities
  19. Appendix A Estimates for the heat kernel
  20. Appendix B Heat potential estimates
  21. Appendix C Nonlinear potential estimates
  22. References
  23. Index