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Aspects of Sobolev-Type Inequalities by Laurent Saloff-Coste
Aspects of Sobolev-Type Inequalities by Laurent Saloff-Coste
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Aspects of Sobolev-Type Inequalities

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Description

This book 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.
Release date NZ
November 22nd, 2001
Audience
  • Professional & Vocational
Pages
202
Dimensions
153x228x14
ISBN-13
9780521006071
Product ID
2010854

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