Global solution and asymptotic behavior for the variable coefficient beam equation with nonlinear damping

DOI10.1002/mma.3527zbMath1338.35303OpenAlexW1957493112MaRDI QIDQ2802678

Shuguan Ji, Long Yan

Publication date: 26 April 2016

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

Full work available at URL: https://doi.org/10.1002/mma.3527

zbMATH Keywords

energy methodglobal solutionexistence and uniquenessexponential decaynonlinear dampingFaedo-Galerkin methodvariable coefficient beam equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)

Related Items (1)

Global existence and time-decay rates of solutions to the generalized Boussinesq equation with weak damping

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