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Aspects Of Sobolevtype Inequalities 1st Edition Laurent Saloffcoste

  • SKU: BELL-1493768
Aspects Of Sobolevtype Inequalities 1st Edition Laurent Saloffcoste
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Aspects Of Sobolevtype Inequalities 1st Edition Laurent Saloffcoste instant download after payment.

Publisher: Cambridge University Press
File Extension: PDF
File size: 4.13 MB
Pages: 202
Author: Laurent Saloff-Coste
ISBN: 9780521006071, 0521006074
Language: English
Year: 2001
Edition: 1

Product desciption

Aspects Of Sobolevtype Inequalities 1st Edition Laurent Saloffcoste by Laurent Saloff-coste 9780521006071, 0521006074 instant download after payment.

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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