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Harnack inequality for nonlocal operators

Thesis (Ph.D.)--University of Washington, 2024Harnack inequalities are a fundamental property in both probability theory and analysis.The scale-variant Harnack inequalities play an important role in studying various properties, such as the regularity of ...
Meng, Xiangqian
core  

2024 Heart Disease and Stroke Statistics: A Report of US and Global Data From the American Heart Association. [PDF]

Circulation
Martin SS, Aday AW, Almarzooq ZI, Anderson CAM, Arora P, Avery CL, Baker-Smith CM, Barone Gibbs B, Beaton AZ, Boehme AK, Commodore-Mensah Y, Currie ME, Elkind MSV, Evenson KR, Generoso G, Heard DG, Hiremath S, Johansen MC, Kalani R, Kazi DS, Ko D, Liu J, Magnani JW, Michos ED, Mussolino ME, Navaneethan SD, Parikh NI, Perman SM, Poudel R, Rezk-Hanna M, Roth GA, Shah NS, St-Onge MP, Thacker EL, Tsao CW, Urbut SM, Van Spall HGC, Voeks JH, Wang NY, Wong ND, Wong SS, Yaffe K, Palaniappan LP, American Heart Association Council on Epidemiology and Prevention Statistics Committee and Stroke Statistics Subcommittee.   +43 more
europepmc   +1 more source

A subelliptic analogue of Aronson–Serrin’s Harnack inequality [PDF]

Mathematische Annalen, 2013
We show that the Harnack inequality for a class of degenerate parabolic quasilinear PDE associated to a system of Lipschitz continuous Hormander vector fields follows from the basic hypothesis of doubling condition and a weak Poincar\'e ...
Luca Capogna, Giovanna Citti
exaly   +5 more sources

The parabolic Harnack inequality for nonlocal equations

Duke Mathematical Journal
Kaßmann M, Weidner M. The parabolic Harnack inequality for nonlocal equations. Duke Mathematical Journal. 2024;173(17):3413-3451.We complete the local regularity program for weak solutions to linear parabolic nonlocal equations with bounded measurable ...
Marvin Weidner
exaly   +3 more sources

On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations [PDF]

Journal of Mathematical Analysis and Applications
In the case $q> p\dfrac{n+2}{n}$, we give a proof of the weak Harnack inequality for non-negative super-solutions of degenerate double-phase parabolic equations under the additional assumption that $u\in L^{s}_{loc}(\Omega_{T})$ with some $s >p\dfrac{n+2}
Yevgeniia Yevgenieva
exaly   +2 more sources

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Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form

Nonlinear Analysis: Theory, Methods & Applications, 2023
Mayra Soares
exaly  

Harnack inequality and gradient estimate for G-SDEs with degenerate noise

Science China Mathematics, 2021
Xing Huang, Fen-Fen Yang
exaly  

Weak Harnack inequalities for eigenvalues and constant rank theorems

Communications in Partial Differential Equations, 2021
Gábor Székelyhidi
exaly  

Harnack’s Inequality of Weak Type for the Parabolic p(x)p (x)-Laplacian

Mathematical Notes, 2022
Mikhail Surnachev
exaly