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  • Journées équations aux dérivées partielles
  • Year 1992
  • article no. 1
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Uniform estimates for a class of evolution equations
Matania Ben-Artzi; François Trèves
Journées équations aux dérivées partielles (1992), article no. 1, 12 p.
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@incollection{JEDP_1992____A1_0,
     author = {Matania Ben-Artzi and Fran\c{c}ois Tr\`eves},
     title = {Uniform estimates for a class of evolution equations},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {1},
     pages = {1--12},
     publisher = {\'Ecole polytechnique},
     year = {1992},
     zbl = {0801.35160},
     mrnumber = {1191908},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/item/JEDP_1992____A1_0/}
}
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AU  - Matania Ben-Artzi
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Matania Ben-Artzi; François Trèves. Uniform estimates for a class of evolution equations. Journées équations aux dérivées partielles (1992), article  no. 1, 12 p. https://proceedings.centre-mersenne.org/item/JEDP_1992____A1_0/
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Ben-Artzi, M. and Devinatz, A. - Local smoothing and convergence properties of Schrödinger-type equations, J. Functional Analysis 101 (1991), 231-245. | MR | Zbl

Ben-Artzi, M. and Klainerman, S. - Decay and regularity for the Schrödinger equation, J. d'Analyse Math. (1992), to appear. | Zbl

Constantin, P. and Saut, J. C. - Local smoothing properties for dispersive equations, J. Amer. Math. Soc. 1 (1988), 413-439. | MR | Zbl

Journé, J. L., Soffer, A. and Sogge, C. D. - Decay estimates for Schrödinger operators, Comm. Pure and Applied Math. (1992), to appear.

Kato, T. - Perturbation Theory for Linear Operators, Springer 1976. | MR | Zbl

Kato, T. - Nonlinear Schrödinger equations, in “Schrödinger Operators”, H. Holden and A. Jensen editors, Springer Lecture Notes in Physics ͅ, 1989. | Zbl

Kenig, C. E., Ponce, G. and Vega, L. - Oscillatory integrals and regularity of dispersive equations, Indiana Univ. J. 40 (1991), 33-69. | MR | Zbl

Phong, D. H. and Stein, E. M. - Oscillatory integrals with polynomial phases, (1991), preprint. | Zbl

Sidi, A., Sulem C. and Sulem, P. L., On the long time behaviour of a generalized KdV equation, Acta Applicandae Math. 7 (1986), 35-47. | MR | Zbl

Strichartz, R. - Restriction of Fourier Transforms to quadratic surfaces and decay of solutions of wave equations, Duke Math. J. 44 (1977), 705-714. | MR | Zbl

Strichartz, R. - Asymptotic behavior of waves, J. Functional Analysis 40 (1981), 341-357. | MR | Zbl

Tomas, P. - Arestriction theorem for the Fourier transform, Bull. Amer. Math. Soc. 81 (1975), 447-478. | MR | Zbl

Tsutsumi, Y. - L2-solutions for nonlinear Schrödinger equations and nonlinear groups, Funkcial. Ekvac. 30 (1987), 115-125. | MR | Zbl

Tsutsumi, Y. - Glocal strong solutions for nonlinear Schrödinger equations, Nonlinear Anal. 11 (1987), 1143-1154. | MR | Zbl

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