\(L^p\)-estimates for the heat semigroup on differential forms, and related problems
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Publication:2187703
DOI10.1007/s12220-019-00188-1zbMath1460.58015arXiv1705.06945OpenAlexW2963299170WikidataQ115376769 ScholiaQ115376769MaRDI QIDQ2187703
El Maati Ouhabaz, Jocelyn Magniez
Publication date: 3 June 2020
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.06945
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Groups and semigroups of linear operators (47D03) Differential forms in global analysis (58A10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (4)
Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel ⋮ On asymptotically almost periodic solutions to the Navier-Stokes equations in hyperbolic manifolds ⋮ On gradient estimates for heat kernels ⋮ Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature
Cites Work
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- A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces
- The Hodge-de Rham Laplacian and \(L^p\)-boundedness of Riesz transforms on non-compact manifolds
- Absorption semigroups, their generators, and Schrödinger semigroups
- \(L^ p\) norms of non-critical Schrödinger semigroups
- Domination of semigroups and generalization of Kato's inequality
- \(L^p\) contraction semigroups for vector valued functions
- Riesz transform on manifolds with quadratic curvature decay
- Riesz transform, Gaussian bounds and the method of wave equation
- Upper bounds of derivatives of the heat kernel on an arbitrary complete manifold
- Riesz transforms of Schrödinger operators on manifolds
- Gaussian heat kernel estimates: from functions to forms
- A Gaussian estimate for the heat kernel on differential forms and application to the Riesz transform
- Large time behavior of heat kernels on forms
- Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends
- Behaviour of heat kernels of Schrödinger operators and applications to certain semilinear parabolic equations
- Riesz transform on manifolds and heat kernel regularity
- Schrödinger semigroups
- From vanishing theorems to estimating theorems: the Bochner technique revisited
- Riesz transforms for $1\le p\le 2$
- Riesz transform and related inequalities on non‐compact Riemannian manifolds
- Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
- Riesz transforms of the Hodge-de Rham Laplacian on Riemannian manifolds
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