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Viac informácií o knihe Aspects of Sobolev-Type Inequalities

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Anotácia knihy

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. 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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Celý názov: Aspects of Sobolev-Type Inequalities
• Autor: Saloff-Coste, Laurent (Cornell University, New York)
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 202
• EAN: 9780521006071
• ISBN: 0521006074
• ID: 04089291
• Nakladateľ: Cambridge University Press
• Hmotnosť: 282 g
• Rozmery: 155 × 228 × 11 mm
• Dátum vydania: 22. November 2001

Obľúbené z iného súdka

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