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portada Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series)
Type
Physical Book
Author
Publisher
Year
2001
Language
English
Pages
202
Format
Paperback
Dimensions
22.7 x 15.5 x 1.0 cm
Weight
0.28 kg.
ISBN
0521006074
ISBN13
9780521006071
Edition No.
1
Categories

Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series)

Laurent Saloff-Coste (Author) · Cambridge University Press · Paperback

Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series) - Saloff-Coste, Laurent

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Synopsis "Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series) "

This book focuses on Poincaré, 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 Poincaré 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 Poincaré's inequality on the other.

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