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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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MR: 1191908 | Zbl: 0801.35160
DOI: 10.5802/jedp.419
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@article{JEDP_1992____A1_0,
     author = {Matania Ben-Artzi and Fran\c{c}ois Tr\`eves},
     title = {Uniform estimates for a class of evolution equations},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {1},
     publisher = {\'Ecole polytechnique},
     year = {1992},
     doi = {10.5802/jedp.419},
     zbl = {0801.35160},
     mrnumber = {1191908},
     language = {en},
     url = {https://jedp.centre-mersenne.org/articles/10.5802/jedp.419/}
}
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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. doi : 10.5802/jedp.419. https://jedp.centre-mersenne.org/articles/10.5802/jedp.419/
  • References
  • Cited by

Ben-Artzi, M. and Devinatz, A. - Local smoothing and convergence properties of Schrödinger-type equations, J. Functional Analysis 101 (1991), 231-245. | MR: 92k:35064 | Zbl: 0762.35022

Ben-Artzi, M. and Klainerman, S. - Decay and regularity for the Schrödinger equation, J. d'Analyse Math. (1992), to appear. | Zbl: 0802.35057

Constantin, P. and Saut, J. C. - Local smoothing properties for dispersive equations, J. Amer. Math. Soc. 1 (1988), 413-439. | MR: 89d:35150 | Zbl: 0667.35061

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: 53 #11389 | Zbl: 0342.47009

Kato, T. - Nonlinear Schrödinger equations, in “Schrödinger Operators”, H. Holden and A. Jensen editors, Springer Lecture Notes in Physics ͅ, 1989. | Zbl: 0698.35131

Kenig, C. E., Ponce, G. and Vega, L. - Oscillatory integrals and regularity of dispersive equations, Indiana Univ. J. 40 (1991), 33-69. | MR: 92d:35081 | Zbl: 0738.35022

Phong, D. H. and Stein, E. M. - Oscillatory integrals with polynomial phases, (1991), preprint. | Zbl: 0829.42014

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: 87k:35038 | Zbl: 0625.35072

Strichartz, R. - Restriction of Fourier Transforms to quadratic surfaces and decay of solutions of wave equations, Duke Math. J. 44 (1977), 705-714. | MR: 58 #23577 | Zbl: 0372.35001

Strichartz, R. - Asymptotic behavior of waves, J. Functional Analysis 40 (1981), 341-357. | MR: 82j:35020 | Zbl: 0484.35070

Tomas, P. - Arestriction theorem for the Fourier transform, Bull. Amer. Math. Soc. 81 (1975), 447-478. | MR: 50 #10681 | Zbl: 0298.42011

Tsutsumi, Y. - L2-solutions for nonlinear Schrödinger equations and nonlinear groups, Funkcial. Ekvac. 30 (1987), 115-125. | MR: 89c:35143 | Zbl: 0638.35021

Tsutsumi, Y. - Glocal strong solutions for nonlinear Schrödinger equations, Nonlinear Anal. 11 (1987), 1143-1154. | MR: 88m:35144 | Zbl: 0657.35032

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