Monotone solutions to quasilinear parabolic equations

DOI10.1007/BF00975164zbMath0814.35061OpenAlexW2116482775MaRDI QIDQ1335904

Mikhail P. Vishnevskii

Publication date: 8 November 1994

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

Full work available at URL: https://doi.org/10.1007/bf00975164

zbMATH Keywords

quasilinear parabolic equationsanalytic nonlinearitiesstrongly monotone dynamical systemsmonotonicity in time

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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• Uniform finite-parameter asymptotics of solutions of nonlinear evolutionary equations
• Convergence of solutions of one-dimensional semilinear parabolic equations
• Convergence in smooth strongly monotone flows defined by semilinear parabolic equations
• Stability and convergence in strongly monotone dynamical systems.
• Domains of attraction of equilibria and monotonicity properties of convergent trajectories in parabolic systems admitting strong comparison principle.

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