Nonlinear wave equations in exterior domains
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Publication:4713125
DOI10.1016/0362-546X(90)90140-CzbMath0738.35043MaRDI QIDQ4713125
Publication date: 25 June 1992
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) PDEs of mixed type (35M10) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)
Related Items
Almost global existence for quasilinear wave equations in three space dimensions ⋮ Almost global existence for some semilinear wave equations ⋮ Nonlinear wave equations in exterior domains ⋮ Global existence for a quasilinear wave equation outside of star-shaped domains ⋮ Global existence of small radially symmetric solutions to quadratic nonlinear wave equations in an exterior domain
Cites Work
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- Singularities and energy decay in acoustical scattering
- Global existence of small solutions to nonlinear evolution equations
- Global existence theorem for nonlinear wave equation in exterior domain
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- Initial-boundary value problems for linear hyperbolic partial differential equations of the second order
- Mixed problems for hyperbolic equations of second order
- On “almost global” solutions to quasilinear wave equations in three space dimensions
- Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
- Almost global existence to nonlinear wave equations in three space dimensions
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Blow-up for quasi-linear wave equations in three space dimensions
- Lower bounds for the life span of solutions of nonlinear wave equations in three dimensions
- Global existence for nonlinear wave equations
- Nonlinear wave equations in exterior domains
- Global, small amplitude solutions to nonlinear evolution equations
- Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle