Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel (Q2155287)

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English	Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel	scientific article

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instance of

scholarly article

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title

Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel (English)

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author

Mathias Braun

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published in

Journal of Functional Analysis

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publication date

15 July 2022

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full work available at URL

https://arxiv.org/abs/2010.01849

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zbMATH Keywords

heat flow

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functional inequalities

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spectral theory

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Ricci curvature

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Hess-Schrader-Uhlenbrock inequality

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MaRDI profile type

MaRDI publication profile

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cites work

Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

0 references

Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

0 references

Metric measure spaces with Riemannian Ricci curvature bounded from below

0 references

Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

0 references

Embedding of \(\mathrm{RCD}^\ast (K,N)\) spaces in \(L^2\) via eigenfunctions

0 references

Heat Kernel and Quantum Gravity

0 references

A logarithmic Sobolev form of the Li-Yau parabolic inequality

0 references

Analysis and Geometry of Markov Diffusion Operators

0 references

Espaces de Dirichlet. I: Le cas élémentaire

0 references

The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem

0 references

Optimal transport, gradient estimates, and pathwise Brownian coupling on spaces with variable Ricci bounds

0 references

Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature

0 references

Q5665783

0 references

Constancy of the Dimension for RCD(<i>K</i>,<i>N</i>) Spaces via Regularity of Lagrangian Flows

0 references

Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds

0 references

On the \(L^p\) independence of the spectrum of the Hodge Laplacian on non-compact manifolds

0 references

On the equivalence of heat kernel estimates and logarithmic Sobolev inequalities for the Hodge Laplacian

0 references

The spectrum of continuously perturbed operators and the Laplacian on forms

0 references

Q3344779

0 references

\(L^p\)-independence of spectral bounds of generalized non-local Feynman-Kac semigroups

0 references

Large time behavior of heat kernels on forms

0 references

Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem

0 references

Q5298949

0 references

Gaussian heat kernel estimates: from functions to forms

0 references

Q4041031

0 references

Quasi-continuous vector fields on RCD spaces

0 references

\(L^p\)-independence of spectral bounds of Feynman-Kac semigroups by continuous additive functionals

0 references

A Gaussian estimate for the heat kernel on differential forms and application to the Riesz transform

0 references

Heat equation derivative formulas for vector bundles

0 references

Q3254057

0 references

Formulae for the derivatives of heat semigroups

0 references

An \(L^{2}\) theory for differential forms on path spaces. I

0 references

On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

0 references

Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds

0 references

Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne

0 references

On the differential structure of metric measure spaces and applications

0 references

Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below

0 references

Logarithmic Sobolev Inequalities

0 references

Q3651067

0 references

Q2876651

0 references

Covariant Schrödinger semigroups on Riemannian manifolds

0 references

Ricci tensor on \(\mathrm{RCD}^\ast(K,N)\) spaces

0 references

The spectrum of a Schrödinger operator in \(L_ p({\mathbb{R}}^{\nu})\) is p-independent

0 references

On the \(L_ p\)-spectrum of Schrödinger operators

0 references

Domination of semigroups and generalization of Kato's inequality

0 references

Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds

0 references

Introduction to spectral theory. With applications to Schrödinger operators

0 references

Spectral convergence under bounded Ricci curvature

0 references

Elliptic PDEs on Compact Ricci Limit Spaces and Applications

0 references

Q2778802

0 references

Heat kernel bounds on metric measure spaces and some applications

0 references

Q3667432

0 references

Perturbation theory for linear operators.

0 references

Exponential convergence of Markovian semigroups and their spectra on \(L^p\)-spaces

0 references

Compactness of Schrödinger semigroups

0 references

Estimates for the heat kernel on differential forms on Riemannian symmetric spaces and applications

0 references

Ricci curvature for metric-measure spaces via optimal transport

0 references

\(L^p\)-estimates for the heat semigroup on differential forms, and related problems

0 references

Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

0 references

Harmonic Forms and Heat Conduction

0 references

Structure theory of metric measure spaces with lower Ricci curvature bounds

0 references

\(L^p\) contraction semigroups for vector valued functions

0 references

Curvature and the eigenforms of the Laplace operator

0 references

Local Poincaré inequalities from stable curvature conditions on metric spaces

0 references

0 references

0 references

0 references

0 references

Uniformly elliptic operators on Riemannian manifolds

0 references

Q5748038

0 references

Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces

0 references

\(L^ p\) contraction semigroups for vector valued functions

0 references

Riesz transform, Gaussian bounds and the method of wave equation

0 references

Kato's inequality and the comparison of semigroups

0 references

Perturbation of Dirichlet forms by measures

0 references

Analysis of the Laplacian on a complete Riemannian manifold

0 references

\(L^ p\) contractive projections and the heat semigroup for differential forms

0 references

On the \(L^ p\)-spectrum of uniformly elliptic operators on Riemannian manifolds

0 references

Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations

0 references

Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality

0 references

On the geometry of metric measure spaces. I

0 references

On the geometry of metric measure spaces. II

0 references

Distribution-valued Ricci bounds for metric measure spaces, singular time changes, and gradient estimates for Neumann heat flows

0 references

\(L^p\)-independence of spectral bounds of Schrödinger type semigroups

0 references

Lp -independence of spectral bounds of non-local Feynman-Kac semigroups

0 references

Optimal Transport

0 references

Q5332803

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Identifiers

zbMATH Open document ID

1494.35088

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DOI

10.1016/j.jfa.2022.109599

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2155287