Stabilization of solutions of an anisotropic quasilinear parabolic equation in unbounded domains

DOI10.1134/S0081543812060119zbMath1304.35355MaRDI QIDQ744283

L. M. Kozhevnikova, F. Kh. Mukminov

Publication date: 7 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

decay ratehomogeneous Dirichlet boundary conditioncylindrical domaincompactly supported initial function

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations (35K59)

Related Items (1)

Stabilization of the solution of a doubly nonlinear parabolic equation

Cites Work

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• Stabilization of solutions of quasilinear second order parabolic equations in domains with non-compact boundaries
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• Lsub1-Lsubinfin estimates of solutions of the Cauchy problem for an anisotropic degenerate parabolic equation with double non-linearity and growing initial data
• Estimates of the stabilization rate as $ t\to\infty$ of solutions of the first mixed problem for a quasilinear system of second-order parabolic equations
• ON UNIFORM STABILIZATION OF SOLUTIONS OF THE EXTERIOR PROBLEM FOR THE NAVIER-STOKES EQUATIONS
• Stabilization of a solution of the first mixed problem for a quasi-elliptic evolution equation

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