Gradient estimates for parabolic problems with unbounded coefficients in non convex unbounded domains

DOI10.1515/FORUM.2007.024zbMath1183.35072MaRDI QIDQ5421641

Marcello Bertoldi, Simona Fornaro, Luca Lorenzi

Publication date: 24 October 2007

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

maximum principleuniquenessunbounded coefficientsparabolic problemsgradient estimatesnonconvex unbounded domains

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Markov semigroups and applications to diffusion processes (47D07) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45)

Related Items (10)

Maximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure ⋮ On a class of self-adjoint elliptic operators in \(L^2\) spaces with respect to invariant measures ⋮ 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 \(\mathbb R_+^d\) ⋮ Diffusion with nonlocal Dirichlet boundary conditions on domains ⋮ A semi-linear backward parabolic Cauchy problem with unbounded coefficients of Hamilton-Jacobi-Bellman type and applications to optimal control ⋮ \(L^{p}\)-estimates for parabolic systems with unbounded coefficients coupled at zero and first order ⋮ A \(W_p^n\)-theory of parabolic equations with unbounded leading coefficients on non-smooth domains ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. II ⋮ Dirichlet parabolic problems involving Schrödinger type operators with unbounded diffusion and singular potential terms in unbounded domains

Cites Work

• Gradient estimates for Dirichlet parabolic problems in unbounded domains
• On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups
• Estimates of the derivatives for parabolic operators with unbounded coefficients
• Gradient estimates in parabolic problems with unbounded coefficients

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