Sobolev Inequalities in Familiar and Unfamiliar Settings

  • Laurent Saloff-Coste
Chapter
Part of the International Mathematical Series book series (IMAT, volume 8)

Abstract

The classical Sobolev inequalities play a key role in analysis in Euclidean spaces and in the study of solutions of partial differential equations. In fact, they are extremely flexible tools and are useful in many different settings. This paper gives a glimpse of assortments of such applications in a variety of contexts.

Keywords

Heat Kernel Cayley Graph Sobolev Inequality Dirichlet Form Volume Growth 
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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Laurent Saloff-Coste
    • 1
  1. 1.Cornell University, Mallot HallIthacaUSA

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