Aspects of Sobolev-type inequalities

Main
Mathematics
Aspects of Sobolev-type inequalities

Aspects of Sobolev-type inequalities

Name: Aspects of Sobolev-type inequalities
ISBN: 9780521006071

Laurent Saloff-Coste

0 / 0

0 comments

ఈ పుస్తకం ఎంతగా నచ్చింది?

దింపుకొన్న ఫైల్ నాణ్యత ఏమిటి?

పుస్తక నాణ్యత అంచనా వేయడాలనుకుంటే దీన్ని దింపుకోండి

దింపుకొన్న ఫైళ్ళ నాణ్యత ఏమిటి?

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.

వర్గాలు:

Mathematics

సంవత్సరం:

2001

ముద్రణం:

ప్రచురణకర్త:

Cambridge University Press

భాష:

english

పేజీల సంఖ్య:

202

ISBN 10: