Global higher integrability for the parabolic equations in Reifenberg domains

DOI10.1002/mana.200710084zbMath1204.35059OpenAlexW2008222130MaRDI QIDQ2786311

Feng-Ping Yao

Publication date: 21 September 2010

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

Full work available at URL: https://doi.org/10.1002/mana.200710084

zbMATH Keywords

Orlicz spacessmall BMO coefficientsglobal gradient estimates

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Second-order parabolic equations (35K10)

Related Items (2)

Second-order elliptic and parabolic equations with BMO coefficients in the whole space ⋮ Lorentz-Morrey regularity for nonlinear elliptic problems with irregular obstacles over Reifenberg flat domains

Cites Work

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• Stochastic processes with value in exponential type Orlicz spaces
• Parabolic equations in Reifenberg domains
• Free boundary regularity for harmonic measures and Poisson kernels
• Elliptic equations with BMO coefficients in Reifenberg domains
• An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces
• Hardy inequalities in Orlicz spaces

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