Local existence of solutions for the Neumann problem of the nonlinear elastodynamic system outside a domain
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Publication:633649
DOI10.1016/j.jmaa.2011.01.076zbMath1221.35228OpenAlexW2087977131MaRDI QIDQ633649
Publication date: 29 March 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.076
Nonlinear elasticity (74B20) Existence of solutions of dynamical problems in solid mechanics (74H20) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Cites Work
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- Local existence of solutions for the initial-boundary value problem of the nonlinear elastodynamic system outside a domain
- Existence of solutions for hyperbolic system of second order outside a domain
- Semigroups of linear operators and applications to partial differential equations
- Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
- On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order
- Nonresonance and global existence of prestressed nonlinear elastic waves
- Global existence of nonlinear elastic waves
- Almost global existence for the initial value problem of nonlinear elastodynamic system
- Mixed problems for hyperbolic equations of second order
- 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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