Sul problema di Dirichlet per equazioni paraboliche del secondo ordine a coefficienti discontinui

DOI10.1007/BF02415021zbMath0321.35043OpenAlexW1990902814MaRDI QIDQ1223543

Ermanno Lanconelli

Publication date: 1975

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/bf02415021

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Axiomatic potential theory (31D05) PDEs with low regular coefficients and/or low regular data (35R05) Miscellaneous topics in partial differential equations (35R99)

Related Items (13)

Unnamed Item ⋮ Wiener estimates at boundary points for parabolic equations ⋮ Nonlinear parabolic capacity and polar sets of superparabolic functions ⋮ Characterizations of interior polar sets for the degenerate \(p\)-parabolic equation ⋮ Behavior at the boundary of solutions of quasilinear parabolic equations ⋮ Wiener's criterion for divergence form parabolic operators with \(C^ 1\)- Dini continuous coefficients ⋮ Thermal capacity and boundary regularity ⋮ Wiener estimates for parabolic obstacle problems ⋮ Wiener-type tests from a two-sided Gaussian bound ⋮ On a non-smooth potential analysis for Hörmander-type operators ⋮ Sul confronto della regolarita dei punti di frontiera rispetto ad operatori lineari parabolici diversi ⋮ Necessary and sufficient condition for the stabilization of the solution of a mixed problem for nondivergence parabolic equations to zero ⋮ Variational parabolic capacity

Cites Work

• Sulproblema di Dirichlet per l'equazione del calore
• Harmonic spaces and their potential theory
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Local behavior of solutions of quasilinear parabolic equations
• Applications of Choquet simplexes to elliptic and parabolic boundary value problems
• On the theory of potentials in locally compact spaces
• Pointwise estimates and quasilinear parabolic equations
• Boundary behavior of solutions of parabolic equations with discontinuous coefficients
• On the regularity of domains for the first boundary value problem for semi-linear parabolic partial differential equations
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