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Harnack's Inequality for Degenerate and Singular Parabolic Equations

BuchGebunden
278 Seiten
Englisch
Springererschienen am12.11.2011
Gives a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p>2 or m>1) and in the singular range (1 2 or 01), starting from the notion of solution and building all the necessary technical tools.mehr
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EUR58,84
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Produkt

KlappentextGives a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p>2 or m>1) and in the singular range (1 2 or 01), starting from the notion of solution and building all the necessary technical tools.
Details
ISBN/GTIN978-1-4614-1583-1
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2011
Erscheinungsdatum12.11.2011
ReiheSpringer Monographs in Mathematics
Seiten278 Seiten
SpracheEnglisch
Gewicht572 g
IllustrationenXIV, 278 p.
Artikel-Nr.11541610

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- 1. Introduction.- 2. Preliminaries.- 3. Degenerate and Singular Parabolic Equations.- 4. Expansion of Positivity.- 5. The Harnack Inequality for Degenerate Equations.- 6. The Harnack Inequality for Singular Equations.- 7. Homogeneous Monotone Singular Equations.- Appendix A.- Appendix B.- Appendix C.- References.- Index.mehr
Kritik
From the reviews:
"Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years, but the issue of the Harnack inequality has remained basically open. In the Introduction to this monograph, the authors present the history of the subject beginning with Harnack's inequality for nonnegative harmonic functions ... . The book is self-contained and addressed to all professionals active in the field, and also to advanced graduate students interested in understanding the main issues of this fascinating research field." (Boris V. Loginov, Zentralblatt MATH, Vol. 1237, 2012)mehr

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