Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions

DOI10.1186/1687-2770-2011-19zbMath1270.35115OpenAlexW2114151551WikidataQ59269166 ScholiaQ59269166MaRDI QIDQ2375824

Amir Peyravi, Faramarz Tahamtani

Publication date: 25 June 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-19

zbMATH Keywords

weighted energy methodPhragmén-Lindelöf type theoremsemi-infinite cylindrical domains

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Cites Work

• Comparison arguments and decay estimates in non-linear viscoelasticity
• Phragmen-Lindelöf alternative for the displacement boundary value problem in a theory of non-linear micropolar elasticity
• Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder
• Phragmén-Lindelöf type results for harmonic functions with nonlinear boundary conditions
• Spatial behavior estimates for the wave equation under nonlinear boundary conditions
• On Knowles' version of Saint-Venant's principle in two-dimensional elastostatics
• 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

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