Boundedness of single layer potentials associated to divergence form parabolic equations with complex coefficients

DOI10.1007/s00526-016-1058-8zbMath1361.35068arXiv1511.03600OpenAlexW2105347508WikidataQ59460310 ScholiaQ59460310MaRDI QIDQ343001

Alejandro J. Castro, Olow Sande, Kaj Nyström

Publication date: 18 November 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03600

zbMATH Keywords

Dirichlet problemsreverse Hölder inequalitylayer potentialsparabolic operators

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Probabilistic potential theory (60J45) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items

Parabolic equations involving Bessel operators and singular integrals ⋮ The Dirichlet problem for second order parabolic operators in divergence form ⋮ Parabolic equations involving Laguerre operators and weighted mixed-norm estimates ⋮ \(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficients ⋮ \(L^{2}\) solvability of boundary value problems for divergence form parabolic equations with complex coefficients ⋮ On the fine properties of parabolic measures associated to strongly degenerate parabolic operators of Kolmogorov type ⋮ On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients ⋮ Commutator estimates for the Dirichlet-to-Neumann map associated to parabolic equations with complex-valued and measurable coefficients on \(\mathbb{R}_+^{n + 2} \)

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