Global existence, uniqueness, and asymptotic behavior of solution for \(p\)-Laplacian type wave equation

DOI10.1155/2010/216760zbMath1211.35199OpenAlexW2151728847WikidataQ59253465 ScholiaQ59253465MaRDI QIDQ607941

Caisheng Chen, Huaping Yao, Ling Shao

Publication date: 6 December 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231689

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)

Related Items (7)

Existence and nonexistence of global solutions for logarithmic hyperbolic equation ⋮ Blow-up of solutions for wave equation with multiple ?(x)-Laplacian and variable exponent nonlinearities ⋮ On wave equation: review and recent results ⋮ Asymptotic behaviour of solutions for \(p\)-Laplacian wave equation with \(m\)-Laplacian dissipation ⋮ Dynamics of a coupled system for nonlinear damped wave equations with variable exponents ⋮ Decay for solutions of a nonlinear damped wave equation with variable-exponent nonlinearities ⋮ Blow-up of solutions for a class quasilinear wave equation with nonlinearity variable exponents

Cites Work

• On a nonlinear hyperbolic equation with anisotropy: Global existence and decay of solution
• A new method to obtain decay rate estimates for dissipative systems
• On weak solutions for an evolution equation with exponential nonlinearities
• Global solutions for a nonlinear wave equation with the p-laplacian operator
• Existence and asymptotic behaviour of solutions for a class of quasi-linear evolution equations with non-linear damping and source terms
• On a nonlinear evolution equation and its applications
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