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Harnack's Inequality for Degenerate and Singular Parabolic Equations
While degenerate and singular parabolic equations have been researched extensively for the last 25 years, the Harnack inequality for nonnegative solutions to these equations has received relatively little attention. Recent progress has been made on the Harnack inequality to the point that the theory...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2012.
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| Edición: | 1st ed. 2012. |
| Colección: | Springer Monographs in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 100 | 1 | |a DiBenedetto, Emmanuele. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Harnack's Inequality for Degenerate and Singular Parabolic Equations |h [electronic resource] / |c by Emmanuele DiBenedetto, Ugo Pietro Gianazza, Vincenzo Vespri. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2012. | |
| 300 | |a XIV, 278 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a Springer Monographs in Mathematics, |x 2196-9922 | |
| 505 | 0 | |a 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. | |
| 520 | |a While degenerate and singular parabolic equations have been researched extensively for the last 25 years, the Harnack inequality for nonnegative solutions to these equations has received relatively little attention. Recent progress has been made on the Harnack inequality to the point that the theory is now reasonably complete-except for the singular subcritical range-both for the p-Laplacian and the porous medium equations. This monograph provides a comprehensive overview of the subject that highlights open problems. The authors treat the Harnack inequality for nonnegative solutions to p-Laplace and porous medium type equations, both in the degenerate and in the singular range. The work is mathematical in nature; its aim is to introduce a novel set of tools and techniques that deepen our understanding of the notions of degeneracy and singularity in partial differential equations. Although related in spirit to a monograph by the first author in this subject, this book is a self-contained treatment with a different perspective. Here the focus is entirely on the Harnack estimates and on their applications; the authors use the Harnack inequality to reprove a number of known regularity results. This book is aimed at researchers and advanced graduate students who work in this fascinating field. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Special functions. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Special Functions. |
| 700 | 1 | |a Gianazza, Ugo Pietro. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Vespri, Vincenzo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781461415831 |
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| 830 | 0 | |a Springer Monographs in Mathematics, |x 2196-9922 | |
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| 912 | |a ZDB-2-SMA | ||
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||