Convergence in a quasilinear parabolic equation with Neumann boundary conditions

DOI10.1016/j.na.2010.10.016zbMath1225.35126OpenAlexW2071623096MaRDI QIDQ622416

Bendong Lou, Jingjing Cai

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.016

zbMATH Keywords

periodic traveling wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Traveling wave solutions (35C07) Quasilinear parabolic equations (35K59)

Related Items (3)

Entire solutions of a generalized curvature flow connecting two traveling waves ⋮ Convergence in a quasilinear parabolic equation with time almost periodic boundary conditions ⋮ On a curvature flow in a band domain with unbounded boundary slopes

Cites Work

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• Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations
• Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit
• Convergence to translating solutions for a class of quasilinear parabolic boundary problems
• On a two-point free boundary problem
• Convergence in general periodic parabolic equations in one space dimension
• Free boundary problem for quasilinear parabolic equation with fixed angle of contact to a boundary

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