A sharp Harnack bound for a nonlocal heat equation
Analysis of PDEs
2023-03-16 v1
Abstract
A sharp double-sided Harnack bound is derived for positive solutions of a fractional order heat equation.
Keywords
Cite
@article{arxiv.2303.08186,
title = {A sharp Harnack bound for a nonlocal heat equation},
author = {Mateusz Dembny and Mikołaj Sierżęga},
journal= {arXiv preprint arXiv:2303.08186},
year = {2023}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
Geometric aspects of the Harnack Inequality for a nonlocal heat equation
Mateusz Dembny, Mikołaj Sierżęga
2025-06-11
Differential Geometry · Mathematics
Differential Harnack Estimates for Time-dependent Heat Equations with Potentials
Xiaodong Cao, Richard S. Hamilton
2008-07-04
Analysis of PDEs · Mathematics
Harnack's Inequality for Parabolic Nonlocal Equations
Martin Strömqvist
2018-02-22
Analysis of PDEs · Mathematics
Backward Harnack inequality and Hamilton estimates for heat type equations
Juanling Lu, Yuting Wu, Qi S. Zhang
2025-08-28
Analysis of PDEs · Mathematics
Harnack's estimate for a mixed local-nonlocal doubly nonlinear parabolic equation
Kenta Nakamura
2022-09-05
Analysis of PDEs · Mathematics
Nonnegative solutions to nonlocal parabolic equations
Naian Liao, Marvin Weidner
2025-05-14
Classical Analysis and ODEs · Mathematics
On parabolic convergence of positive solutions of the heat equation
Jayanta Sarkar
2021-04-20
Analysis of PDEs · Mathematics
Sharp estimates for the gradient of solutions to the heat equation
Gershon Kresin, Vladimir Maz'ya
2018-08-10
Analysis of PDEs · Mathematics
Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations
Vicentiu Radulescu, Bin Shang, Chao Zhang
2024-06-07
Analysis of PDEs · Mathematics
Optimal Hamilton-type gradient estimates for the heat equation on noncompact manifolds
Loth Damagui Chabi, Philippe Souplet
2025-07-17
Analysis of PDEs · Mathematics
Dirichlet heat kernel estimates for parabolic nonlocal equations
Philipp Svinger, Marvin Weidner
2025-12-02
Analysis of PDEs · Mathematics
Harnack estimates for nonlocal drift-diffusion equations
Naian Liao
2025-01-14
Analysis of PDEs · Mathematics
Harnack Estimate for the Endangered Species Equation
Xiaodong Cao, Mark Cerenzia, Demetre Kazaras
2015-06-30
Analysis of PDEs · Mathematics
An extension problem for the fractional derivative defined by Marchaud
Claudia Bucur, Fausto Ferrari
2016-08-09
Analysis of PDEs · Mathematics
Sharp two-sided heat kernel estimates for critical Schr\"odinger operators on bounded domains
Stathis Filippas, Luisa Moschini, Achilles Tertikas
2015-06-26
Analysis of PDEs · Mathematics
A parabolic equation on domains with random boundaries
Duong Thanh Pham, Thanh Tran
2020-09-30
Analysis of PDEs · Mathematics
On The Weak Harnack Estimate For Nonlocal Equations
Harsh Prasad
2023-06-06
Analysis of PDEs · Mathematics
Harnack inequality for degenerate and singular elliptic equations with unbounded drift
Connor Mooney
2014-07-11
Differential Geometry · Mathematics
Differential Harnack Estimates for heat Equation under Finsler-Ricci Flow
Sajjad Lakzian
2018-07-24
Probability · Mathematics
Heat kernel estimates for time fractional equations
Zhen-Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang
2017-09-12
Analysis of PDEs · Mathematics
Strong Solutions to a Nonlocal-in-Time Semilinear Heat Equation
Christoph Walker
2020-07-13
Differential Geometry · Mathematics
Harnack Estimates for Nonlinear Heat Equations with Potentials in Geometric Flows
Hongxin Guo, Masashi Ishida
2014-02-19
Differential Geometry · Mathematics
Harnack Estimates for Nonlinear Backward Heat Equations in Geometric Flows
Hongxin Guo, Masashi Ishida
2014-02-19
Analysis of PDEs · Mathematics
Discrete versions of the Li-Yau gradient estimate
Dominik Dier, Moritz Kassmann, Rico Zacher
2017-06-13
Probability · Mathematics
Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms
Janna Lierl, Laurent Saloff-Coste
2017-03-14