Geodesic
A Uniqueness Result for Solutions to Subcritical NLS
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 3, pp. 791-803.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We extend in a nonlinear context previous results obtained in [8], [9], [10]. In particular we present a precised version of Morawetz type estimates and a uniqueness criterion for solutions to subcritical NLS. 
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Vega, Luis; Visciglia, Nicola. A Uniqueness Result for Solutions to Subcritical NLS. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 3, pp. 791-803. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_3_a11/

[1] J. A. Barcelo - A. Ruiz - L. Vega, Some dispersive estimates for Schrödinger equations with repulsive potentials, J. Funct. Anal., vol. 236 (2006), 1-24. | DOI | MR | Zbl

[2] T. Cazenave, Semilinear Schrödinger equations, Courant Lecture Notes in Mathematics, vol. 10, New York University Courant Institute of Mathematical Sciences, New York, 2003. | DOI | MR

[3] P. Costantin - J.C. Saut, Local smoothing properties of dispersive equations, J. Amer. Math. Soc., vol. 1 (1988), 413-439. | DOI | MR | Zbl

[4] M. Keel - T. Tao, Endpoint Strichartz estimates, Amer. J. Math., vol. 120 (1998), 955-980. | MR | Zbl

[5] P. L. Lions - B. Perthame, Lemmes de moments, de moyenne et de dispersion, C.R.A.S., vol. 314 (1992), 801-806. | MR | Zbl

[6] P. Sjolin, Regularity of solutions to the Schrödinger equation, Duke Math. J., vol. 55 (1987), 699-715. | DOI | MR | Zbl

[7] L. Vega, Schrödinger equations: pointwise convergence to the initial data, Proc. Amer. Math. Soc., vol. 102 (1988), 874-878. | DOI | MR | Zbl

[8] L. Vega - N. Visciglia, On the local smoothing for the free Schrödinger equation. Proc. Amer. Math. Soc., vol. 135 (2007), 119-128. | DOI | MR | Zbl

[9] L. Vega - N. Visciglia, On the local smmothing for a class of conformally invariant Schrödinger equations. Indiana Univ. Math. J., vol. 56 (2007), 2265-2304. | DOI | MR | Zbl

[10] L. Vega - N. Visciglia, Asymptotic lower bounds for a class of Schroedinger equations. Comm. Math. Phys., vol. 279 (2008), 429-453. | DOI | MR | Zbl