A pointwise inequality for derivatives of solutions of the heat equation in bounded domains (Q6183827)

scientific article; zbMATH DE number 7783573

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English	A pointwise inequality for derivatives of solutions of the heat equation in bounded domains	scientific article; zbMATH DE number 7783573

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instance of

scholarly article

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title

A pointwise inequality for derivatives of solutions of the heat equation in bounded domains (English)

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author

Stefan Steinerberger

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published in

Illinois Journal of Mathematics

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publication date

4 January 2024

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full work available at URL

https://arxiv.org/abs/2102.02736

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https://projecteuclid.org/journals/illinois-journal-of-mathematics/volume-67/issue-4/A-pointwise-inequality-for-derivatives-of-solutions-of-the-heat/10.1215/00192082-10908733.full

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MaRDI profile type

MaRDI publication profile

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cites work

Gradient Estimates on Dirichlet and Neumann Eigenfunctions

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Über die Eigenfunktionen auf geschlossenen Riemannschen Mannigfaltigkeiten

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Derivatives of the spectral function and Sobolev norms of eigenfunctions on a closed Riemannian manifold

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Large deviations and the Malliavin calculus

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Logarithmic improvements in \(L^{p}\) bounds for eigenfunctions at the critical exponent in the presence of nonpositive curvature

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Uniform gradient estimates on manifolds with a boundary and applications

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Formulae for the derivatives of heat semigroups

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Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron

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UNIFORM BOUNDS FOR EIGENFUNCTIONS OF THE LAPLACIAN ON MANIFOLDS WITH BOUNDARY*

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Improvement of eigenfunction estimates on manifolds of nonpositive curvature

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The spectral function of an elliptic operator

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The gradient estimate of a Neumann eigenfunction on a compact manifold with boundary

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On the geometry of the \(p\)-Laplacian operator

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Q5815045

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Liouville property of harmonic functions of finite energy for Dirichlet forms

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A dimension-free Hermite–Hadamard inequality via gradient estimates for the torsion function

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On the Location of Maxima of Solutions of Schrödinger's Equation

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Mean Curvature, The Laplacian, and Soap Bubbles

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Gradient estimate of an eigenfunction on a compact Riemannian manifold without boundary

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Sharp \(L^2\to L^q\) bounds on spectral projectors for low regularity metrics

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On the \(L^p\) norm of spectral clusters for compact manifolds with boundary

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Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds

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Eigenfunction and Bochner Riesz estimates on manifolds with boundary

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Riemannian manifolds with maximal eigenfunction growth

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About the blowup of quasimodes on Riemannian manifolds

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Maximum principles and their applications

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Gradient estimates for harmonic functions on regular domains in Riemannian manifolds

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Derivatives of Feynman-Kac semigroups

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Gradient estimate for eigenforms of Hodge Laplacian

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New proof of the Hörmander multiplier theorem on compact manifolds without boundary

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Gradient estimates for the eigenfunctions on compact manifolds with boundary and Hörmander Multiplier Theorem

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Identifiers

arXiv ID

2102.02736

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DOI

10.1215/00192082-10908733

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6183827