Spatial behaviour for quasilinear parabolic equations in cylinders and cones

DOI10.1007/s000300050038zbMath0899.35012OpenAlexW2063833620MaRDI QIDQ1386390

Ramón Quintanilla

Publication date: 1 November 1998

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000300050038

zbMATH Keywords

conical domainshomogeneous Dirichlet conditionPhragmen-Lindelöf type growth-decay estimatethree dimensional cylinder

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

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Spatial ceasing and decay of solutions to nonlinear hyperbolic equations with nonlinear boundary conditions ⋮ Spatial decay in transient heat conduction for general elongated regions ⋮ Some remarks on the fast spatial growth/decay in exterior regions ⋮ Quasistatic anti-plane motion in the simplest theory of nonlinear viscoelasticity ⋮ On the asymptotic behaviour of solutions of some nonlinear elliptic and parabolic equations

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