Parabolic $L^p$ Dirichlet boundary value problem and VMO-type time-varying domains (Q780535)

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English	Parabolic $L^p$ Dirichlet boundary value problem and VMO-type time-varying domains	scientific article

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title

Parabolic $L^p$ Dirichlet boundary value problem and VMO-type time-varying domains (English)

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15 July 2020

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full work available at URL

https://arxiv.org/abs/1805.07270

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zbMATH Keywords

parabolic boundary value problems

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$L^p$ solvability

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VMO-type domains

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MaRDI profile type

MaRDI publication profile

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cites work

Q5573634

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Partial regularity and smooth topology-preserving approximations of rough domains

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

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Parabolic maximal functions associated with a distribution

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Parabolic maximal functions associated with a distribution. II

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Criterion for the $L^p$-dissipativity of second order differential operators with complex coefficients

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Estimates of harmonic measure

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EXISTENCE AND UNIQUENESS FOR A SEMILINEAR ELLIPTIC PROBLEM ON LIPSCHITZ DOMAINS IN RIEMANNIAN MANIFOLDS

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Hardy spaces and potential theory on 𝐶¹ domains in Riemannian manifolds

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

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Regularity theory for solutions to second order elliptic operators with complex coefficients and the $L^{p}$ Dirichlet problem

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The $L^p$ Dirichlet problem for second order elliptic operators and a $p$-adapted square function

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Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition

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Singular integrals with mixed homogeneity

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Potential techniques for boundary value problems on $C^1$-domains

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$H^p$ spaces of several variables

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$L^ 2$ solvability and representation by caloric layer potentials in time-varying domains

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The Dirichlet problem for parabolic operators with singular drift terms

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Symbol calculus for operators of layer potential type on Lipschitz surfaces with VMO normals, and related pseudodifferential operator calculus

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Q3869782

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Q3795954

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The Dirichlet problem for elliptic equations with drift terms

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A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations

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

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The Dirichlet problem for second order parabolic operators

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On convolution operators leaving $L^{p,\lambda}$ spaces invariant

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Absolute continuity of parabolic measure and area integral estimates 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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Chord-arc surfaces with small constant. I

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Bounded Toeplitz Operators on H 1 and Applications of the Duality Between H 1 and the Functions of Bounded Mean Oscillation

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Q5607484

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Q3142876

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Q3878202

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$B^q$ for parabolic measures

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Identifiers

zbMATH Open document ID

1442.35172

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Mathematics Subject Classification ID

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10.2140/APDE.2020.13.1221

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Mathematics(1 entry)

mardi Publication:780535

Parabolic \(L^p\) Dirichlet boundary value problem and VMO-type time-varying domains (Q780535)

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Mathematics(1 entry)