Phragmen-Lindelöf type results for second order quasilinear parabolic equations in \(\mathbb{R}^ 2\)

DOI10.1007/BF00943507zbMath0799.35124MaRDI QIDQ1328425

Changhao Lin, Lawrence E. Payne

Publication date: 24 November 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

quasilinear parabolic equationsPhragmen-Lindelöf type growth-decay estimatessemi-infinite strip in \(\mathbb{R}^ 2\)

Mathematics Subject Classification ID

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

Related Items (9)

Phragmen-Lindelöf alternative results for the initial boundary problem of Stokes equation ⋮ Phragmén-Lindelöf and continuous dependence type results in a Stokes flow ⋮ Some alternative results for some nonlinear parabolic equations in the half cylinder ⋮ Phragmén–Lindelöf alternative and continuous dependence-type results for the thermoelasticity of type III ⋮ Some remarks on the fast spatial growth/decay in exterior regions ⋮ Some alternative results for the nonlinear viscoelasticity equations ⋮ A Phragmén-Lindelöf alternative result for the Navier-Stokes equations for steady compressible viscous flow ⋮ Phragmén-Lindelöf alternative results for the shallow water equations for transient compressible viscous flow ⋮ On the asymptotic behaviour of solutions of some nonlinear elliptic and parabolic equations

Cites Work

• Decay estimates for second-order quasilinear partial differential equations
• Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder
• Spatial decay estimates for the heat equation via the maximum principle
• A Phragmen-Lindelöf alternative for a class of quasilinear second order parabolic problems
• A spatial decay estimate for the heat equation
• On the spatial decay of solutions of parabolic equations
• On the spatial decay of solutions of the heat equation
• Upper bounds and Saint-Venant’s principle in transient heat conduction
• Spatial decay estimates in transient heat conduction
• Recent Developments Concerning Saint-Venant's Principle

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