Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity

DOI10.1016/j.na.2006.06.001zbMath1117.35008OpenAlexW2074753839MaRDI QIDQ880308

Ryo Ikehata, Ruy Coimbra Charão

Publication date: 15 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.06.001

zbMATH Keywords

Dirichlet boundary conditionsglobal existencedecay rateelastic wavesemilinear system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)

Related Items (7)

Optimal decay rates for the system of elastic waves in \(\mathbb R^n\) with structural damping ⋮ Energy decay rates of elastic waves in unbounded domain with potential type of damping ⋮ Uniform decay rates of coupled anisotropic elastodynamic/Maxwell equations with nonlinear damping ⋮ Local existence of solutions for the initial-boundary value problem of the nonlinear elastodynamic system outside a domain ⋮ ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS ⋮ Structurally damped elastic waves in 2D ⋮ Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions

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