Local existence with minimal regularity for nonlinear wave equations

American Journal of Mathematics

Volumn 119, Issue 3, 1997, Pages 671-703

  Zhou, Yi ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001248316     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.1997.0020     Document Type: Article

References (5)

1. J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Part I: Schrödinger equations, Geom. Funct. Anal. 3 (1993), 107-156.
2. S. Klainerman and M. Machedon, Space-time estimates for null forms and the local existence theorem, Comm. Pure Appl. Math. XLVI (1993), 1221-1268.
3. _, Smoothing estimates for null forms and applications, preprint, 1994.
4. C. D. Sogge, On local existence for nonlinear wave equations satisfying variable coefficient null conditions, Comm. Partial Differential Equations 18 (1993), 1795-1821.
5. Y. Zhou, Local regularity for two space dimensional equations of wave maps type, preprint, 1995.