The Dirichlet problem for second order parabolic operators in non-cylindrical domains

DOI10.1002/mana.200610815zbMath1197.35130OpenAlexW1981971530MaRDI QIDQ3552209

Anna Piro Grimaldi, Roberto Argiolas

Publication date: 13 April 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610815

zbMATH Keywords

Dirichlet problemnon-cylindrical domainparabolic operatornon-divergence formVMO coefficients

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Perturbations in context of PDEs (35B20) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Cites Work

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• A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations
• Positive solutions of elliptic equations in nondivergence form and their adjoints
• Fatou theorems for some nonlinear elliptic equations
• Area Integral Estimates for Caloric Functions
• Green's function, caloric measure and Fatou theorem for nondivergence parabolic equations in non cylindrical domains
• Behavior near the boundary of positive solutions of second order parabolic equations. II
• A control on the set where a Green's function vanishes
• Weighted Norm Inequalities for the Hardy Maximal Function
• Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values

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