Weighted Nash inequalities
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Publication:446418
DOI10.4171/RMI/695zbMath1252.35015arXiv1004.3456MaRDI QIDQ446418
Dominique Bakry, Ivan Gentil, François Bolley, Patrick Maheux
Publication date: 6 September 2012
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.3456
General topics in linear spectral theory for PDEs (35P05) Markov semigroups and applications to diffusion processes (47D07) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items (12)
Diffusion and kinetic transport with very weak confinement ⋮ A variational proof of Nash's inequality ⋮ About the analogy between optimal transport and minimal entropy ⋮ Dimension dependent hypercontractivity for Gaussian kernels ⋮ Non ultracontractive heat kernel bounds by Lyapunov conditions ⋮ A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces ⋮ Adaptive invariant density estimation for ergodic diffusions over anisotropic classes ⋮ Kernel estimates for elliptic operators with unbounded diffusion, drift and potential terms ⋮ Pathwise Estimates for Effective Dynamics: The Case of Nonlinear Vectorial Reaction Coordinates ⋮ – OFF-DIAGONAL ESTIMATES FOR THE ORNSTEIN–UHLENBECK SEMIGROUP: SOME POSITIVE AND NEGATIVE RESULTS ⋮ Weighted Sobolev inequalities in CD(0,N) spaces ⋮ Compactness and density estimates for weighted fractional heat semigroups
Cites Work
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- Continuity of Solutions of Parabolic and Elliptic Equations
- Logarithmic Sobolev Inequalities
- Sobolev inequalities in disguise
- Hardy's inequality with weights
- The geometry of Markov diffusion generators
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