Space-time \(L^{2}\) estimates for elastic waves and applications
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Publication:529124
DOI10.1016/j.jde.2017.04.014zbMath1368.35050OpenAlexW2608527400MaRDI QIDQ529124
Publication date: 18 May 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.04.014
A priori estimates in context of PDEs (35B45) PDEs in connection with mechanics of deformable solids (35Q74) Initial value problems for second-order hyperbolic systems (35L52)
Related Items (6)
Lifespan of classical solutions to semilinear Neumann-wave equations ⋮ Long time existence for two-dimension elastic waves ⋮ Global solutions to systems of quasilinear wave equations with low regularity data and applications ⋮ Space-time \(L^{2}\) estimates, regularity and almost global existence for elastic waves ⋮ On nonlinear elastic waves in 2-D ⋮ Remarks on nonlinear elastic waves with null conditions
Cites Work
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- Remarks on nonlinear elastic waves in the radial symmetry in 2-D
- Global existence for nonlinear elastic waves in high space dimensions
- On almost global existence and local well posedness for some 3-D quasi-linear wave equations
- Space-time \(L^2\)-estimates and life span of the Klainerman-Machedon radial solutions to some semi-linear wave equations.
- Hyperbolic trapped rays and global existence of quasilinear wave equations
- A mathematical introduction to fluid mechanics
- On the Morawetz--Keel-Smith-Sogge inequality for the wave equation on a curved background
- Nonresonance and global existence of prestressed nonlinear elastic waves
- Global existence of nonlinear elastic waves
- Almost global existence for some semilinear wave equations
- The null condition and global existence of nonlinear elastic waves
- Global existence of null-form wave equations in exterior domains
- Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions
- Elastic waves in exterior domains. Part I. Almost global existence
- A Remark on the Almost Global Existence Theorems of Keel, Smith and Sogge
- Almost global existence to nonlinear wave equations in three space dimensions
- Almost global existence of elastic waves of finite amplitude arising from small initial disturbances
- Dispersal of waves vanishing on the boundary of an exterior domain
- On the work and legacy of Fritz John, 1934-1991
- Almost global existence for quasilinear wave equations in three space dimensions
- Elastic Waves in Exterior Domains Part II: Global Existence with a Null Structure
- Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods
- Time decay for the nonlinear Klein-Gordon equation
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