Concerning the Strauss Conjecture and Almost Global Existence for Nonlinear Dirichlet-Wave Equations in 4-Dimensions
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Publication:3532807
DOI10.1080/03605300802239803zbMath1209.35083arXiv0710.2026OpenAlexW2081001370MaRDI QIDQ3532807
Jason Metcalfe, Christopher D. Sogge, Yi Du, Yi Zhou
Publication date: 28 October 2008
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.2026
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Cites Work
- Nonexistence of global solutions to semilinear wave equations in high dimensions
- Nonlinear scattering theory at low energy: Sequel
- Blow-up of solutions of nonlinear wave equations in three space dimensions
- Global existence for a quasilinear wave equation outside of star-shaped domains
- Almost global existence for some semilinear wave equations
- Remarks on energy inequalities for wave and Maxwell equations on a curved background
- On the Zakharov and Zakharov-Schulman systems
- Global existence of null-form wave equations in exterior domains
- Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions
- The decay of solutions of the exterior initial-boundary value problem for the wave equation
- The Lifespan for Nonlinear Wave Equation Outside of Star-Shaped Obstacle in Three Space Dimensions
- Dispersal of waves vanishing on the boundary of an exterior domain
- Decay of solutions of the wave equation outside nontrapping obstacles
- Weighted Strichartz estimates and global existence for semilinear wave equations
- Global Strichartz Estimates for Nontrapping Geometries: About an Article by H. Smith and C. Sogge
- Almost global existence for quasilinear wave equations in three space dimensions
- Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
- Global strichartz estimates for nonthapping perturbations of the laplacian
- Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods
- Time decay for the nonlinear Klein-Gordon equation
- On the lifespan of solutions of nonlinear wave equations with small initial data
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