Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series) Book + PRICE WATCH * Amazon pricing is not included in price watch

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

A concise introduction to analysis on manifolds focusing on functional inequalities and their applications to the solution of the heat diffusion equation. It gives a detailed treatment of recent advances and would be suitable for use as an advanced graduate textbook, as well as a reference for graduates and researchers.Read More

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  • Product Description

    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.

  • 0521006074
  • 9780521006071
  • Laurent Saloff-Coste
  • 22 November 2001
  • Cambridge University Press
  • Paperback (Book)
  • 200
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