Regularity of solutions to anisotropic nonlocal equations

DOI10.1007/s00209-020-02459-yzbMath1471.60134arXiv1607.08135OpenAlexW3103509317MaRDI QIDQ2205598

Jamil Chaker

Publication date: 21 October 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08135

zbMATH Keywords

support theoremanisotropyHölder continuityharmonic functionsjump processesnonlocal operators

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Stable stochastic processes (60G52) Jump processes on general state spaces (60J76)

Related Items (10)

Regularity estimates for fractional orthotropic \(p\)-Laplacians of mixed order ⋮ Heat kernel bounds for nonlocal operators with singular kernels ⋮ Harnack inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions ⋮ A Regularity Theory for Parabolic Equations with Anisotropic Nonlocal Operators in \(\boldsymbol{L_{{q}}(L_{{p}})}\) Spaces ⋮ Local boundedness of variational solutions to nonlocal double phase parabolic equations ⋮ MFO-RIMS tandem workshop: Nonlocality in analysis, probability and statistics. Abstracts from the MFO-RIMS tandem workshop held March 20--26, 2022 ⋮ Semigroup properties of solutions of SDEs driven by Lévy processes with independent coordinates ⋮ Ergodicity of a Lévy-driven SDE arising from multiclass many-server queues ⋮ Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements ⋮ Existence of variational solutions to nonlocal evolution equations via convex minimization

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