Refinement of an \(L^ p\)-estimate of Solonnikov for a parabolic equation of the second order with conormal boundary condition

DOI10.1007/BF01161648zbMath0683.35038MaRDI QIDQ1824761

Peter Weidemaier

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/173991

zbMATH Keywords

single-layer potential\(L^ p\)-theoryNeumann-boundary condition

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

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Maximal \(L^1\)-regularity for parabolic initial-boundary value problems with inhomogeneous data, Global solutions to a system of strongly coupled reaction-diffusion equations, Local existence for parabolic problems with fully nonlinear boundary condition; an \(L_ p\)-approach, A note on the behavior of blow-up solutions for one-phase Stefan problems

Cites Work

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• A priori estimates for second-order parabolic equations