Spatial ceasing and decay of solutions to nonlinear hyperbolic equations with nonlinear boundary conditions

DOI10.1016/J.AML.2007.12.023zbMath1184.35220OpenAlexW2076449641MaRDI QIDQ847381

Mingxin Wang, Xiaosen Han

Publication date: 12 February 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.12.023

zbMATH Keywords

weighted energy methodalgebraic decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• Spatial decay bounds for a class of quasi-linear parabolic initial-boundary value problems
• Spatial decay in a double diffusive convection problem in Darcy flow
• Spatial behaviour for quasilinear parabolic equations in cylinders and cones
• On the spatial decay of solutions for a class of diffusion-reaction equations
• Spatial behavior estimates for the wave equation under nonlinear boundary conditions
• On the asymptotic behaviour of solutions of some nonlinear elliptic and parabolic equations
• On the spatial behavior of solutions for porous elastic solids with quasi-static microvoids
• On the spatial blow-up and decay for some nonlinear parabolic equations with nonlinear boundary conditions
• Growth and decay results in heat conduction problems with nonlinear boundary conditions
• Spatial Behavior for Nonlinear Heat Equations

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