Smoothing estimates for null forms and applications
S. Klainerman and M. Machedon
Source: Duke Math. J. Volume 81, Number 1
(1995), 99-133.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077245464
Mathematical Reviews number (MathSciNet): MR1381973
Zentralblatt MATH identifier: 0909.35094
Digital Object Identifier: doi:10.1215/S0012-7094-95-08109-5
References
[B]1 J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schrödinger equations, Geom. Funct. Anal. 3 (1993), no. 2, 107–156.
Mathematical Reviews (MathSciNet): MR95d:35160a
Zentralblatt MATH: 0787.35097
Digital Object Identifier: doi:10.1007/BF01896020
[B]2 J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II. The KdV-equation, Geom. Funct. Anal. 3 (1993), no. 3, 209–262.
Mathematical Reviews (MathSciNet): MR95d:35160b
Zentralblatt MATH: 0787.35098
Digital Object Identifier: doi:10.1007/BF01895688
[KePoVe] C. Kenig, G. Ponce, and L. Vega, The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices, Duke Math. J. 71 (1993), no. 1, 1–21.
Mathematical Reviews (MathSciNet): MR94g:35196
Zentralblatt MATH: 0787.35090
Digital Object Identifier: doi:10.1215/S0012-7094-93-07101-3
Project Euclid: euclid.dmj/1077289834
[KlMa] S. Klainerman and M. Machedon, Space-time estimates for null forms and the local existence theorem, Comm. Pure Appl. Math. 46 (1993), no. 9, 1221–1268.
Mathematical Reviews (MathSciNet): MR94h:35137
Zentralblatt MATH: 0803.35095
Digital Object Identifier: doi:10.1002/cpa.3160460902
[L] H. Lindblad, Counterexamples to local existence for quasilinear wave equations, preprint.
Mathematical Reviews (MathSciNet): MR1666844
Zentralblatt MATH: 0932.35149
[PoSi] G. Ponce and T. Sideris, Local regularity of nonlinear wave equations in three space dimensions, Comm. Partial Differential Equations 18 (1993), no. 1-2, 169–177.
Mathematical Reviews (MathSciNet): MR95a:35092
Zentralblatt MATH: 0803.35096
Digital Object Identifier: doi:10.1080/03605309308820925
[Z] Y. Zhou, private communication.
Duke Mathematical Journal
