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Item Details
| Title:
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ASPECTS OF SOBOLEV-TYPE INEQUALITIES
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| By: |
Laurent Saloff-Coste |
| Format: |
Electronic book text |
| List price:
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£85.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0511549768 |
| ISBN 13: |
9780511549762 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
6 August, 2010 |
| Series: |
London Mathematical Society Lecture Note Series 289 |
| Description: |
This book, first published in 2001, is a concise introduction to analysis on manifolds, covering functional inequalities and their applications, for graduates and researchers. |
| Synopsis: |
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. |
| Publication: |
UK |
| Imprint: |
Cambridge University Press (Virtual Publishing) |
| Returns: |
Non-returnable |
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