Generating monotone quantities for the heat equation
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Publication:2332782
DOI10.1515/crelle-2017-0025zbMath1442.35170arXiv1509.01949OpenAlexW2963561904MaRDI QIDQ2332782
Publication date: 5 November 2019
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.01949
Heat equation (35K05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Harmonic analysis and PDEs (42B37)
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Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality ⋮ A supersolutions perspective on hypercontractivity
Cites Work
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- Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
- Heat equation and convolution inequalities
- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Heat-flow monotonicity of Strichartz norms
- On the multilinear restriction and Kakeya conjectures
- Entropy of spherical marginals and related inequalities
- Extremals of functionals with competing symmetries
- A convolution estimate for two-dimensional hypersurfaces
- On the parabolic kernel of the Schrödinger operator
- On a reverse form of the Brascamp-Lieb inequality
- Besicovitch type maximal operators and applications to Fourier analysis
- Best constants in Young's inequality, its converse, and its generalization to more than three functions
- Inequalities in Fourier analysis
- The Ehrhard inequality
- A sharp bilinear cone restriction estimate
- A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
- Diffusion equations and geometric inequalities
- Nonlinear flows and rigidity results on compact manifolds
- The free Markoff field
- Closure properties of solutions to heat inequalities
- Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion
- Maximizers for the Strichartz inequality
- The Brascamp-Lieb inequalities: Finiteness, structure and extremals
- Aspects of Multilinear Harmonic Analysis Related to Transversality
- Mean value estimates for Weyl sums in two dimensions
- Correlation and Brascamp-Lieb Inequalities for Markov Semigroups
- Some inequalities satisfied by the quantities of information of Fisher and Shannon
- An Information-Theoretic Proof of the Central Limit Theorem with Lindeberg Conditions
- On sharp Strichartz inequalities in low dimensions
- Hessian of Bellman functions and uniqueness of the Brascamp–Lieb inequality
- On Gaussian Brunn–Minkowski inequalities
- Inequalities in Fourier Analysis on R n
- Logarithmic Sobolev Inequalities
- Inégalités de Brascamp-Lieb et convexité
- Solution of Shannon’s problem on the monotonicity of entropy
- Hardy-Littlewood-Sobolev inequalities via fast diffusion flows
- Monotonicity and its analytic and geometric implications
- Remarks on Gaussian Noise Stability, Brascamp-Lieb and Slepian Inequalities
- The convolution inequality for entropy powers
- A short proof of the multilinear Kakeya inequality
- Endpoint bilinear restriction theorems for the cone, and some sharp null form estimates
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