Gradient estimates for Dirichlet parabolic problems in unbounded domains

DOI10.1016/j.jde.2004.06.019zbMath1061.35022OpenAlexW2042684878MaRDI QIDQ704221

Metafune, Giorgio, Enrico Priola, Simona Fornaro

Publication date: 13 January 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.06.019

zbMATH Keywords

maximum principlesunbounded coefficientsbounded classical solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

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Stability of transition semigroups and applications to parabolic equations, Unnamed Item, Existence and nonexistence of positive solutions of \(p\)-Kolmogorov equations perturbed by a Hardy potential, The Cauchy-Dirichlet problem for a class of linear parabolic differential equations with unbounded coefficients in an unbounded domain, On the Dirichlet and Neumann evolution operators in \(\mathbb R_+^d\), Geometric analysis on Ornstein-Uhlenbeck operators with quadratic potentials, Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian, Diffusion with nonlocal Dirichlet boundary conditions on domains, Hölder regularity up to the boundary for critical SQG on bounded domains, Unnamed Item, On fractional Leibniz rule for Dirichlet Laplacian in exterior domain, Gradient estimates for parabolic problems with unbounded coefficients in non convex unbounded domains, The stochastic obstacle problem for the harmonic oscillator with damping, Gradient estimates for diffusion semigroups with singular coefficients, A \(W_p^n\)-theory of parabolic equations with unbounded leading coefficients on non-smooth domains, Dirichlet parabolic problems involving Schrödinger type operators with unbounded diffusion and singular potential terms in unbounded domains, Nonautonomous Kolmogorov parabolic equations with unbounded coefficients

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