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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.

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1. Ebooks list page : 3848
2. 2017-10-09[PDF] Aspects of Sobolev-Type Inequalities (London Mathematical Society Lecture Note Series)
3. 2017-12-01[PDF] Sobolev Spaces in Mathematics I: Sobolev Type Inequalities (International Mathematical Series) (v. 1) - Removed
4. 2017-02-09[PDF] Sobolev Spaces in Mathematics I: Sobolev Type Inequalities (International Mathematical Series) (v. 1) - Removed
5. 2013-12-21Sobolev Spaces in Mathematics I: Sobolev Type Inequalities (repost)
6. 2008-12-06Sobolev Spaces in Mathematics I: Sobolev Type Inequalities - Removed
7. 2020-05-28Hardy Type Inequalities on Time Scales - Removed
8. 2020-05-15HALF-DISCRETE HILBERT-TYPE INEQUALITIES
9. 2019-12-07Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces (SpringerBriefs in Mathematics)
10. 2019-01-15Hardy Type Inequalities on Time Scales - Removed
11. 2019-01-10Hardy Type Inequalities on Time Scales
12. 2018-12-27Hardy Type Inequalities on Time Scales
13. 2018-12-13Ostrowski Type Inequalities and Applications in Numerical Integration
14. 2018-01-22[PDF] Some Gronwall Type Inequalities and Applications
15. 2018-01-10[PDF] Hardy Type Inequalities on Time Scales - Removed
16. 2018-01-08[PDF] Blow-up in Nonlinear Sobolev Type Equations (De Gruyter Series in Nonlinear Analysis and Applications)
17. 2018-01-05[PDF] Ostrowski Type Inequalities and Applications in Numerical Integration - Removed
18. 2017-12-21[PDF] Multivariate Bonferroni-Type Inequalities: Theory and Applications
19. 2017-11-25[PDF] Bonferroni-type Inequalities with Applications (Probability and Its Applications) - Removed
20. 2017-11-17[PDF] Half-Discrete Hilbert-Type Inequalities

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