Vega, Visciglia: A Uniqueness Result for Solutions to Subcritical NLS

Vega, Luis and Visciglia, Nicola:
A Uniqueness Result for Solutions to Subcritical NLS
Bollettino dell'Unione Matematica Italiana Serie 9 1 (2008), fasc. n.3, p. 791-803, (English)
pdf (381 Kb), djvu (106 Kb). | MR 2455345 | Zbl 1191.35259

Sunto

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.

Referenze Bibliografiche

[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. | fulltext (doi) | MR 2227127 | Zbl 1293.35090

[2] T. CAZENAVE, Semilinear Schrödinger equations, Courant Lecture Notes in Mathematics, vol. 10, New York University Courant Institute of Mathematical Sciences, New York, 2003. | fulltext (doi) | MR 2002047

[3] P. COSTANTIN - J.C. SAUT, Local smoothing properties of dispersive equations, J. Amer. Math. Soc., vol. 1 (1988), 413-439. | fulltext (doi) | MR 928265 | Zbl 0667.35061

[4] M. KEEL - T. TAO, Endpoint Strichartz estimates, Amer. J. Math., vol. 120 (1998), 955-980. | MR 1646048 | Zbl 0922.35028

[5] P. L. LIONS - B. PERTHAME, Lemmes de moments, de moyenne et de dispersion, C.R.A.S., vol. 314 (1992), 801-806. | MR 1166050 | Zbl 0761.35085

[6] P. SJOLIN, Regularity of solutions to the Schrödinger equation, Duke Math. J., vol. 55 (1987), 699-715. | fulltext (doi) | MR 904948 | Zbl 0631.42010

[7] L. VEGA, Schrödinger equations: pointwise convergence to the initial data, Proc. Amer. Math. Soc., vol. 102 (1988), 874-878. | fulltext (doi) | MR 934859 | Zbl 0654.42014

[8] L. VEGA - N. VISCIGLIA, On the local smoothing for the free Schrödinger equation. Proc. Amer. Math. Soc., vol. 135 (2007), 119-128. | fulltext (doi) | MR 2280200 | Zbl 1173.35107

[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. | fulltext (doi) | MR 2360610 | Zbl 1171.35117

[10] L. VEGA - N. VISCIGLIA, Asymptotic lower bounds for a class of Schroedinger equations. Comm. Math. Phys., vol. 279 (2008), 429-453. | fulltext (doi) | MR 2383594 | Zbl 1155.35098

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Referenze Bibliografiche