[PDF.13pk] Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series)

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

[PDF.yj10] Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series)

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 | #3487969 in eBooks |  2001-11-22 |  2001-11-22 | File type: PDF

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|| |'The book is very well written and organized. it contains so many comments and explanations that both experts and non-experts on the subject may enjoy reading it.' Zentralblatt für Mathematik

'... a well-written and self-contained account of th

This book, first published in 2001, 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 Sobole...

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