On the Cauchy and invariant measure problem for the periodic Zakharov system
Jean Bourgain
Source: Duke Math. J. Volume 76, Number 1
(1994), 175-202.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077286743
Mathematical Reviews number (MathSciNet): MR1301190
Zentralblatt MATH identifier: 0821.35120
Digital Object Identifier: doi:10.1215/S0012-7094-94-07607-2
References
[B1] 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
[B2] 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
[B3] J. Bourgain, Periodic nonlinear Schrödinger equations and invariant measure, preprint, Inst. Hautes Études Sci., 1993, to appear in J. Statist. Phys.
Mathematical Reviews (MathSciNet): MR1667895
[KPV] C. Kenig, G. Ponce, and L. Vega, On the Zakharov and Zakharov-Schulman systems, preprint.
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[LRS] J. Lebowitz, H. Rose, and E. Speer, Statistical mechanics of the nonlinear Schrödinger equation, J. Statist. Phys. 50 (1988), no. 3-4, 657–687.
Mathematical Reviews (MathSciNet): MR89f:82006
Zentralblatt MATH: 0925.35142
Digital Object Identifier: doi:10.1007/BF01026495
[OT] T. Ozawa and Y. Tsutsumi, The nonlinear Schrödinger limit and the initial layer of the Zakharov equations, Differential Integral Equations 5 (1992), no. 4, 721–745.
Mathematical Reviews (MathSciNet): MR93d:76079
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[SS] C. Sulem and P. L. Sulem, Quelques résultats de regularité pour les equations $d$ ela turbulence de Langmuir, C. R. Acad. Sci. Paris. Sér. I. Math. 289 (1879), 173–176.
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