Parabolic regularity and Dirichlet boundary value problems (Q2312568)

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Language	Label	Description	Also known as
English	Parabolic regularity and Dirichlet boundary value problems	scientific article

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scholarly article

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Parabolic regularity and Dirichlet boundary value problems (English)

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

17 July 2019

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full work available at URL

https://arxiv.org/abs/1707.01001

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zbMATH Keywords

time-varying cylinders

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MaRDI profile type

MaRDI publication profile

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The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders

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The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders

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𝐿²-solvability of the Dirichlet, Neumann and regularity problems for parabolic equations with time-independent Hölder-continuous coefficients

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Estimates of harmonic measure

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The Dirichlet boundary problem for second order parabolic operators satisfying a Carleson condition

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BMO solvability and the \(A_\infty\) condition for second order parabolic operators

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Generalized Parabolic Functions using the Perron-Wiener-Brelot Method

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A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations

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𝐿^{𝑝} boundary value problems for parabolic equations

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Singular integrals with mixed homogeneity

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Behavior near the boundary of positive solutions of second order parabolic equations

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\(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains

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The \(L^p\) regularity problem for the heat equation in non-cylindrical domains

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The Dirichlet problem for parabolic operators with singular drift terms

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The Neumann problem for elliptic equations with non-smooth coefficients

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The method of layer potentials for the heat equation in time-varying domains

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THE INITIAL DIRICHLET BOUNDARY VALUE PROBLEM FOR GENERAL SECOND ORDER PARABOLIC SYSTEMS IN NONSMOOTH MANIFOLDS

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The Dirichlet problem for second order parabolic operators

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Boundary value problems and duality between \(L^p\) Dirichlet and regularity problems for second order parabolic systems in non-cylindrical domains

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Perturbation and Solvability of Initial L<sup>p</sup> Dirichlet Problems for Parabolic Equations over Non-cylindrical Domains

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Some properties of nonnegative solutions of parabolic differential operators

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Weakly Differentiable Functions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.NA.2019.03.014

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Sitelinks

Mathematics(1 entry)

mardi Publication:2312568

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