On almost global existence for nonrelativistic wave equations in 3D

Communications on Pure and Applied Mathematics

Volumn 49, Issue 3, 1996, Pages 307-321

  Klainerman, Sergiu ^b   Sideris, Thomas C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030549709     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199603)49:3<307::AID-CPA4>3.0.CO;2-H     Document Type: Article

References (6)

1. Christodoulou, D., and Klainerman, S., The Global Nonlinear Stability of the Minkowski Space, Princeton University Press, Princeton, NJ, 1993.
2. Ebin, D. G., Global solutions of the equations of elastodynamics of incompressible neo-Hookean materials, Proc. Nat. Acad. Sci. U.S.A., 90, 1993, pp. 3802-3805.
3. Gurtin, M. E., Topics infinite elasticity, CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, 1981.
4. John, F., Almost global existence of elastic waves affinite amplitude arising from small initial disturbances, Comm. Pure Appl. Math. 41, 1988, pp. 615-666.
5. John, F., and Klainerman, S., Almost global existence to nonlinear wave equations in three space dimensions, Comm. Pure Appl. Math. 37, 1984, pp. 443-455.
6. Klainerman, S., Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math. 38, 1985, pp. 321-332.