Well-posedness in the energy space for semilinear wave equations with critical growth

International Mathematics Research Notices

Volumn 1994, Issue 7, 1994, Pages 303-309

  Shatah, Jalal ^a   Struwe, Michael ^b  

^a NEW YORK UNIVERSITY   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84962991958     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1155/S1073792894000346     Document Type: Article

References (7)

1. J. Ginibre and G. Velo, The global Cauchy problem for the nonlinear Klein-Gordon equation, Math. Z. 189 (1985), 487-505.
2. L. Kapitanski, Global and unique weak solutions of nonlinear wave equations, preprint. -, The Cauchy problem for semilinear wave equation II andIII, J. Soviet Math. 62 (1992), 2746-2777.
3. J. Shatah and M. Struwe, Regularity results for nonlinear wave equtions, Ann. of Math. (2) 138 (1993), 503-518.
4. W. Strauss, On weak solutions of semilinear hyperbolic equations, An. Acad. Brasil. Cienc. 42 (1970), 645-651.
5. M. Struwe, Semilinear wave equations, Bull. Amer. Math. Soc. (N.S.) 26 (1992), 53-85.
6. M. Struwe, Nonlinear wave equations, College de France Seminar, March 19, 1993, Pitman, to appear.
7. M. Struwe, lecture, Institute for Advanced Study, Princeton, November 17, 1992.