On the Dirac delta as initial condition for nonlinear Schrödinger equations

Valeria Banica, Luis Vega

Type: Article

Publication Date: 2007-09-04

Citations: 26

DOI: https://doi.org/10.1016/j.anihpc.2007.03.007

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Annales de l Institut Henri Poincaré C Analyse Non Linéaire - View - PDF
arXiv (Cornell University) - View - PDF
French digital mathematics library (Numdam) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
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+	Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation	2020	Simão Correia Raphaël Côte Luis Vega
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+	Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation	2018	Simão Correia Raphaël Côte Luis Vega
+	On the stability of self-similar solutions of 1D cubic Schrodinger equations	2011	Susana Gutiérrez Luis Vega

Works Cited by This (17)

Action	Title	Year	Authors
+	Nonlinear Parabolic Equations Involving Measures as Initial Conditions	1981	Haı̈m Brezis Avner Friedman
+	On the ill-posedness of some canonical dispersive equations	2001	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation	1986	Fred B. Weissler
+	A note on the NLS and the Schrödinger flow of maps	1998	Qing Ding
+	On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case	1979	J. Ginibre G. Velo
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler
+	Global wellposedness for 1D non-linear Schrödinger equation for data with an infinite L2 norm	2001	Ana Vargas Luis Vega
+	Two Remarks on Solutions of Gross-Pitaevskii Equations on Zhidkov Spaces	2007	Olivier Goubet
+	Self-similar solutions for the 1-D Schrödinger map on the hyperbolic plane	2007	Francisco de la Hoz
+ PDF Chat	The Cauchy Problem for Defocusing Nonlinear Schrödinger Equations with Non-Vanishing Initial Data at Infinity	2008	Clément Gallo