Global existence for a quasilinear wave equation outside of star-shaped domains

Journal of Functional Analysis

Volumn 189, Issue 1, 2002, Pages 155-226

  Keel, Markus ^a   Smith, Hart F ^b   Sogge, Christopher D ^c  

^a University of Minnesota   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

^c JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037138367     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2001.3844     Document Type: Article

References (28)

1. Solutions globales des équations de champ de Yang-Mills
2. Global solutions of nonlinear hyperbolic equations for small initial data
3. Nonlinear wave equations in exterior domains
4. Global existence of solutions to some exterior radial quasilinear Cauchy-Dirichlet problems
5. Global existence of small solutions to quadratic nonlinear wave equations in an exterior domain
6. Mixed problems for hyperbolic equations of second order
7. On global existence for nonlinear wave equations outside of convex obstacles
8. The null condition and global existence to nonlinear wave equations
9. Uniform decay estimates and the Lorentz invariance of the classical wave equation
10. Remarks on the global Sobolev inequalities in Minkowski space
11. Long time behavior of solutions to nonlinear wave equations
12. Space-time estimates for null forms and the local existence theorem
13. Exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle
14. The decay of solutions of the exterior initial-boundary problem for the wave equation
15. Conformal treatment of infinity
16. Global existence theorem for nonlinear wave equation in exterior domain
17. On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain
18. Local existence of solution for the initial-boundary value problem of fully nonlinear wave equation
19. On the critical semilinear wave equation outside convex obstacles
20. Null form estimates for (1/2, 1/2) symbols and local existence for a quasilinear Dirichlet-wave equation
21. Global Strichartz estimates for nontrapping perturbations of the Laplacian
22. On local existence for nonlinear wave equations satisfying variable coefficient null conditions