Spatial behavior estimates for the wave equation under nonlinear boundary conditions

DOI10.1016/S0895-7177(01)00080-2zbMath0995.35038OpenAlexW2067078636MaRDI QIDQ1600432

A. Okay Çelebi, Varga K. Kalantarov

Publication date: 13 June 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00080-2

zbMATH Keywords

Phragmén-Lindelöf theoremlinear wave equationspatial decay and growth estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) A priori estimates in context of PDEs (35B45)

Related Items (3)

Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions ⋮ Spatial ceasing and decay of solutions to nonlinear hyperbolic equations with nonlinear boundary conditions ⋮ Spatial estimates for a system of coupled parabolic-hyperbolic equations under nonlinear boundary condition

Cites Work

• Some spatial decay estimates in continuum dynamics
• Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions
• A spatial decay estimate for the heat equation
• On the spatial decay of solutions of the heat equation
• Growth and decay results in heat conduction problems with nonlinear boundary conditions
• A Spatial Decay Estimate for the Hyperbolic Heat Equation
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