Behavior of solutions to nonlinear parabolic equations at large time

DOI10.1007/BF02109832zbMath0863.35051OpenAlexW1969843688MaRDI QIDQ1921796

T. I. Zelenyak, Mikhail M. jun. Lavrentiev, Mikhail P. Vishnevskii

Publication date: 3 September 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02109832

zbMATH Keywords

quasilinear parabolic equationsLyapunov functionaldomains of attractionstrongly monotone dynamical systemsmonotone heteroclinic solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (5)

Solvability to some strongly degenerate parabolic problems ⋮ Exponential decay for quasilinear parabolic equations in any dimension ⋮ Rate of convergence for one-dimensional quasilinear parabolic problem and its applications ⋮ A remark on the global solvability of the Cauchy problem for quasilinear parabolic equations ⋮ On the first boundary value problem for quasilinear parabolic equations with two independent variables

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