Local existence of solutions for the initial-boundary value problem of the nonlinear elastodynamic system outside a domain

DOI10.1016/j.na.2008.03.063zbMath1177.35138OpenAlexW2042436705MaRDI QIDQ1006713

Jie Xin

Publication date: 25 March 2009

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.2008.03.063

zbMATH Keywords

Dirichlet boundary conditionexterior problemiteration technique

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear elasticity (74B20) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55) Existence of solutions of dynamical problems in solid mechanics (74H20)

Related Items (1)

Local existence of solutions for the Neumann problem of the nonlinear elastodynamic system outside a domain

Cites Work

• Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity
• Existence of solutions for hyperbolic system of second order outside a domain
• Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
• On the decay rate of local energy for the elastic wave equation
• Nonresonance and global existence of prestressed nonlinear elastic waves
• Global existence of nonlinear elastic waves
• Sur les problèmes de Cauchy hyperboliques bien posés
• Almost global existence of elastic waves of finite amplitude arising from small initial disturbances
• Local existence of solution for the initial boundary value problem of fully nonlinear wave equation
• Finite amplitude waves in a homogeneous isotropic elastic solid
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