The null condition and global existence of nonlinear elastic waves

Inventiones Mathematicae

Volumn 123, Issue 2, 1996, Pages 323-342

  Sideris, Thomas C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030532454     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050030     Document Type: Article

References (11)

1. Christodoulou, D.: Global solutions for nonlinear hyperbolic equations for small data. Comm. Pure Appl. Math. 39 (1986) 267-282
2. Gurtin, M.E.: Topics in finite elasticity. CBMS-NSF Regional Conference Series in Applied Mathematics, no. 35. Philadelphia: SIAM (1981)
3. John, F.: Instability of finite amplitude elastic waves. Proc. IUTAM Symposium on Finite Elasticity, Leheigh University. Boston: Martinus Nijhoff (1980)
4. John, F.: Blow-up for quasi-linear wave equations in three space dimensions. Comm. Pure Appl. Math. 34 (1981) 29-51
5. John, F.: Formation of singularities in elastic waves. Lec. Notes in Physics, 195. P.G. Ciarlet, M. Rousseau (eds.) New York: Springer (1984) pp 190-214
6. John, F.: Almost global existence of elastic waves of finite amplitude arising from small initial disturbances. Comm. Pure Appl. Math. 41 (1988) 615-666
7. John, F., Klainerman, S.: Almost global existence to nonlinear wave equations in three space dimensions. Comm. Pure Appl. Math. 37 (1984) 443-455
8. Klainerman, S.: Uniform decay estimates and the Lorentz invariance of the classical wave equation. Comm. Pure Appl. Math. 38 (1985) 321-332
9. Klainerman, S.: The null condition and global existence to nonlinear wave equations. Lec. in Appl. Math. (B. Nicolaenco, ed.) 23 (1986)
10. Klainerman, S., Sideris, T.: On almost global existence for nonrelativistic wave equations in 3d. Comm. Pure Appl. Math. (to appear)
11. Sideris, T.: Global behavior of solutions to nonlinear wave equations in three dimensions. Comm. P.D.E. 8, 12 (1983) 1291-1323