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Paperback Aspects of Sobolev-Type Inequalities Book
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ISBN: 0521006074

ISBN13: 9780521006071

Aspects of Sobolev-Type Inequalities

(Book #289 in the London Mathematical Society Lecture Note Series)

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Book Overview

This book focuses on Poincar , 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 Poincar and Sobolev inequalities...

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Math Mathematics Science & Math

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