Necessary and sufficient condition for the stabilization of the solution to the initial-boundary value problem for second-order nondivergence parabolic equations

DOI10.1134/S1064562413040017zbMath1277.35050MaRDI QIDQ382212

V. N. Denisov, Yury A. Alkhutov

Publication date: 18 November 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dini conditionthermal-potential subsolutiontwo-sided estimate of Nash-Aroson typeWiener capacity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Heat kernel (35K08)

Related Items (2)

Stabilization of solutions to the Dirichlet problem in a cylindrical domain for the parabolic \(p\)-Laplacian ⋮ Necessary and sufficient condition for the stabilization of the solution of a mixed problem for nondivergence parabolic equations to zero

Cites Work

• Necessary and sufficient conditions for the stabilization of the solution to the Dirichlet problem for the heat equation
• Bounds for the fundamental solution of a parabolic equation
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