Dirichlet problem for the heat equation in \(h_ c^ 1(d\omega)\)

DOI10.1007/BF01759258zbMath0854.35052OpenAlexW2008048035MaRDI QIDQ1913393

Francesco Ragnedda, Anna Piro Grimaldi

Publication date: 8 July 1996

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01759258

zbMATH Keywords

caloric measuresurface measure

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20)

Cites Work

• A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations
• Hardy spaces and the Dirichlet problem on Lipschitz domains
• Some properties of nonnegative solutions of parabolic differential operators
• On the Hardy space-H of a \(C^ 1\) domain
• Invertibility of some heat potentials in BMO norms
• The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders
• Estimates of Caloric Measure and the Initial-Dirichlet Problem for the Heat Equation in Lipschitz Cylinders
• The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders
• Area Integral Estimates for Caloric Functions
• Classical boundary value problems for integrable temperatures in a $C^1$ domain
• Weighted norm inequalities for maximal functions and singular integrals
• A harnack inequality for parabolic differential equations
• Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values
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