Necessary and sufficient condition for the stabilization of the solution of a mixed problem for nondivergence parabolic equations to zero

DOI10.1090/S0077-1554-2014-00233-8zbMath1328.35066OpenAlexW2034390904MaRDI QIDQ5254455

V. N. Denisov, Yury A. Alkhutov

Publication date: 9 June 2015

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0077-1554-2014-00233-8

zbMATH Keywords

initial-boundary value problemstabilizationparabolic equationDini conditionheat capacityWiener capacity

Mathematics Subject Classification ID

Second-order parabolic equations (35K10)

Related Items (3)

Stabilization of solutions to the Dirichlet problem in a cylindrical domain for the parabolic \(p\)-Laplacian ⋮ Geometric estimates of solutions of quasilinear elliptic inequalities ⋮ Wiener-type tests from a two-sided Gaussian bound

Cites Work

• Necessary and sufficient condition for the stabilization of the solution to the initial-boundary value problem for second-order nondivergence parabolic equations
• Sul problema di Dirichlet per equazioni paraboliche del secondo ordine a coefficienti discontinui
• Conditions for stabilization of solutions to the first boundary value problem for parabolic equations
• Stabilization of solutions to nonlinear parabolic equations of the \(p\)-Laplace type
• On stabilisation of solutions of the Cauchy problem for parabolic equations
• On the decay of solutions of non-uniformly elliptic equations
• On the behaviour of solutions of parabolic equations for large values of time
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