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Sto caricando le informazioni... Aspects of Sobolev-Type Inequalitiesdi L. Saloff-Coste
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Appartiene alle Serie
This book, first published in 2001, focuses on Poincare?, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds. Applications covered include the ultracontractivity of the heat diffusion semigroup, Gaussian heat kernel bounds, the Rozenblum-Lieb-Cwikel inequality and elliptic and parabolic Harnack inequalities. Emphasis is placed on the role of families of local Poincare? and Sobolev inequalities. The text provides the first self contained account of the equivalence between the uniform parabolic Harnack inequality, on the one hand, and the conjunction of the doubling volume property and Poincare?'s inequality on the other. It is suitable to be used as an advanced graduate textbook and will also be a useful source of information for graduate students and researchers in analysis on manifolds, geometric differential equations, Brownian motion and diffusion on manifolds, as well as other related areas. Non sono state trovate descrizioni di biblioteche |
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Google Books — Sto caricando le informazioni... GeneriSistema Decimale Melvil (DDC)515.782Natural sciences and mathematics Mathematics Analysis Functional AnalysisClassificazione LCVotoMedia: Nessun voto.Sei tu?Diventa un autore di LibraryThing. |