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

From MaRDI portal
Publication:2563751

DOI10.2307/2118595zbMath0867.35037OpenAlexW2322531294MaRDI QIDQ2563751

John L. Lewis, Steven Hofmann

Publication date: 4 August 1997

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2118595




Related Items (46)

Boundary integral operators for the heat equation in time-dependent domainsThe heat equation and reflected Brownian motion in time-dependent domains.Removable singularities for Lipschitz caloric functions in time varying domainsKolmogorov-Fokker-Planck equations: comparison principles near Lipschitz type boundariesBoundary Value Problems for Parabolic Operators in a Time-Varying DomainOn regularity of weak solutions to linear parabolic systems with measurable coefficientsBoundary values of vector-valued Hardy spaces on nonsmooth domains and the Radon-Nikodym propertyBoundedness of single layer potentials associated to divergence form parabolic equations with complex coefficientsArea integral estimates for higher order elliptic equations and systemsParabolic singular integrals and uniformly rectifiable sets in the parabolic senseThe A-property of the Kolmogorov measureVertical versus horizontal Sobolev spacesBMO solvability and the \(A_\infty\) condition for second order parabolic operatorsCoronizations and big pieces in metric spacesSub-elliptic boundary value problems in flag domainsCorona decompositions for parabolic uniformly rectifiable setsOn area integral estimates for solutions to parabolic systems in time-varying and non-smooth cylindersSquare function estimates for the evolutionary \(p\)-Laplace equationCarleson measure estimates for caloric functions and parabolic uniformly rectifiable setsBoundary integral operator for the fractional Laplace equation in a bounded Lipschitz domainGreen's functions for parabolic systems of second order in time-varying domains\(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficientsThe central limit theorem in Lipschitz domainsOn an inverse type problem for the heat equation in parabolic regular graph domainsTangential derivatives and higher-order regularizing properties of the double layer heat potentialSingular integrals on regular curves in the Heisenberg groupEXTENSION AND RESTRICTION THEOREMS IN ANISOTROPIC BESOV SPACESOn a parabolic symmetry problemThe \(L^p\) Neumann problem for the heat equation in non-cylindrical domainsCaloric measure in parabolic flat domainsThe Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficientsA parabolic version of corona decompositions\(L^{2}\) solvability of boundary value problems for divergence form parabolic equations with complex coefficientsOn the fine properties of parabolic measures associated to strongly degenerate parabolic operators of Kolmogorov typeUnnamed ItemOn Monte Carlo algorithms applied to Dirichlet problems for parabolic operators in the setting of time-dependent domainsOn big pieces approximations of parabolic hypersurfacesParabolic regularity and Dirichlet boundary value problemsParabolic \(L^p\) Dirichlet boundary value problem and VMO-type time-varying domainsExtrapolation of the Dirichlet problem for elliptic equations with complex coefficientsAn \(L^q\) regularity condition that implies the \(A_\infty\) property of parabolic measureThe Dirichlet-conormal problem for the heat equation with inhomogeneous boundary conditionsRecent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domainsCommutator estimates for the Dirichlet-to-Neumann map associated to parabolic equations with complex-valued and measurable coefficients on \(\mathbb{R}_+^{n + 2} \)Boundary value problems for higher order parabolic equationsSquare function estimates and the Kato problem for second order parabolic operators in \(\mathbb{R}^{n + 1}\)




This page was built for publication: \(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains