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Nonlocal operators with singular anisotropic kernels (Q5205884)

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scientific article; zbMATH DE number 7143800

Language	Label	Description	Also known as
English	Nonlocal operators with singular anisotropic kernels	scientific article; zbMATH DE number 7143800

Statements

scholarly article

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Nonlocal operators with singular anisotropic kernels (English)

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Moritz Kassmann

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Communications in Partial Differential Equations

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publication date

17 December 2019

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full work available at URL

https://arxiv.org/abs/1803.01835

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zbMATH Keywords

anisotropic measure

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energy form

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jump process

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nonlocal operator

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regularity

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weak Harnack inequality

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MaRDI profile type

MaRDI publication profile

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Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian

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Regularity of harmonic functions for a class of singular stable-like processes

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The Dirichlet problem for nonlocal operators

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Function spaces and extension results for nonlocal Dirichlet problems

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On Harnack's theorem for elliptic differential equations

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PARABOLIC EQUATIONS

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Transition Probabilities for Symmetric Jump Processes

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Regularity theory for parabolic nonlinear integral operators

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Heat kernel estimates for stable-like processes on \(d\)-sets.

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Elliptic Harnack inequalities for symmetric non-local Dirichlet forms

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Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes

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Local behavior of fractional \(p\)-minimizers

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Local Regularity for Parabolic Nonlocal Operators

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A priori estimates for integro-differential operators with measurable kernels

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Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian

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Harnack's inequality for parabolic nonlocal equations

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Regularity for anisotropic fully nonlinear integro-differential equations

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Harnack inequalities for SDEs driven by cylindrical \(\alpha\)-stable processes

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Transition density estimates for diagonal systems of SDEs driven by cylindrical $\alpha$-stable processes

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Large deviations for stable like random walks on \(\mathbb Z^d\) with applications to random walks on wreath products

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Random walks on nilpotent groups driven by measures supported on powers of generators

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Random walks and isoperimetric profiles under moment conditions

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Regularity results for nonlocal parabolic equations

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Identifiers

10.1080/03605302.2019.1651335

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5205884

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