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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Harnack's Inequality for Degenerate and Singular Parabolic Equations
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Harnack's Inequality for Degenerate and Singular Parabolic Equations
Emmanuele DiBenedetto, Ugo Pietro Gianazza, Vincenzo Vespri (Gebundene Ausgabe, Englisch)
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Beschreibung
Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p -Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the… point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete. It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open. The authors give 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< p <2 or 0< m <1), starting from the notion of solution and building all the necessary technical tools. The book is self-contained. Building on a similar monograph by the first author, the authors of the present book focus entirely on the Harnack estimates and on their applications: indeed a number of known regularity results are given a new proof, based on the Harnack inequality. It is 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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
12.11.2011
Sprache
Englisch
EAN
9781461415831
Herausgeber
Springer US
Serien- oder Bandtitel
Springer Monographs in Mathematics
Sonderedition
Nein
Autor
Emmanuele DiBenedetto, Ugo Pietro Gianazza, Vincenzo Vespri
Seitenanzahl
278
Einbandart
Gebundene Ausgabe
Schlagwörter
Harnack's inequality, classical Harnack inequality, degenerate and singular parabolic equations, degenerate parabolic equations, homogeneous monotone singular equations, quasilinear parabolic equations, singular parabolic equations, partial differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBK - Mathematische Analysis, allgemein
PBKF - Funktionalanalysis und Abwandlungen
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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