A Hölder regularity theory for a class of non-local elliptic equations related to subordinate Brownian motions

DOI10.1007/s11118-015-9490-5zbMath1336.35349OpenAlexW774255427MaRDI QIDQ907313

Kyeong-Hun Kim, Ildoo Kim

Publication date: 25 January 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-015-9490-5

zbMATH Keywords

integro-differential equationsHölder estimatessubordinate Brownian motionnon-local elliptic equationsnon-symmetric measurable kernels

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Integro-differential operators (47G20) Integro-partial differential equations (35R09)

Related Items

Schauder estimates for degenerate Lévy Ornstein-Uhlenbeck operators, Sobolev regularity theory for the non-local elliptic and parabolic equations on \(C^{1,1}\) open sets, Intrinsic Hölder continuity of harmonic functions, Schauder estimates for drifted fractional operators in the supercritical case

Cites Work

• Regularity results for stable-like operators
• On the Cauchy problem for certain integro-differential operators in Sobolev and Hölder spaces
• Elliptic partial differential equations of second order
• Schauder estimates for a class of non-local elliptic equations
• On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem
• Global uniform boundary Harnack principle with explicit decay rate and its application
• Lévy Processes and Stochastic Calculus
• Mean Oscillation Over Cubes and Holder Continuity
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