Area Integral Estimates for Caloric Functions

DOI10.2307/2001295zbMath0703.35077OpenAlexW4254764537MaRDI QIDQ3482183

Russell M. Brown

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001295

zbMATH Keywords

area integralFatou theoremcaloric measure

Mathematics Subject Classification ID

Heat equation (35K05) Qualitative properties of solutions to partial differential equations (35B99)

Related Items

A free boundary problem for the parabolic Poisson kernel, Boundary values of vector-valued Hardy spaces on nonsmooth domains and the Radon-Nikodym property, Boundedness of single layer potentials associated to divergence form parabolic equations with complex coefficients, The Oblique Derivative Problem for the Heat Equation in Lipschitz Cylinders, Dirichlet problem for the heat equation in \(h_ c^ 1(d\omega)\), Parabolic NTA domains in ℝ², Green's function, caloric measure and Fatou theorem for nondivergence parabolic equations in non cylindrical domains, The central limit theorem in Lipschitz domains, The Dirichlet problem for second order parabolic operators in non-cylindrical domains, The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains, Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability, Parabolic singular integrals in probability theory, The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders

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