Spatial decay bounds for a class of quasi-linear parabolic initial-boundary value problems

DOI10.1016/J.IJNONLINMEC.2004.06.003zbMath1349.35173OpenAlexW2090101789MaRDI QIDQ873476

G. A. Philippin, Lawrence E. Payne

Publication date: 29 March 2007

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2004.06.003

zbMATH Keywords

maximum principlesSaint-Venant principlenon-linear heat conductionquasi-linear parabolic problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Saint-Venant's principle (74G50) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Spatial ceasing and decay of solutions to nonlinear hyperbolic equations with nonlinear boundary conditions ⋮ Continuous dependence results for a class of nonlinear heat equations in a cylindrical region

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