POINTWISE BOUNDS AND SPATIAL DECAY ESTIMATES IN HEAT CONDUCTION PROBLEMS

DOI10.1142/S0218202595000425zbMath0849.35011MaRDI QIDQ4863951

G. A. Philippin, Lawrence E. Payne

Publication date: 7 November 1996

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

gradient maximum principleexplicit decay estimateSt-Venant type spatial decay estimates

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50)

Related Items (7)

SPATIAL DECAY FOR SOLUTIONS OF CAUCHY PROBLEMS FOR PERTURBED HEAT EQUATIONS ⋮ Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problems ⋮ SPATIAL DECAY BOUNDS IN THE CHANNEL FLOW OF AN INCOMPRESSIBLE VISCOUS FLUID ⋮ Phragmén-Lindelöf alternative results for the shallow water equations for transient compressible viscous flow ⋮ Spatial decay bounds for the channel flow of the Boussinesq equations ⋮ Continuous dependence for solutions to 2-D Boussinesq system channel flow ⋮ Growth and decay results in heat conduction problems with nonlinear boundary conditions

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