Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity I: Basic theory

Justin Holmer, Chang Liu

Type: Preprint

Publication Date: 2015-01-01

Citations: 12

DOI: https://doi.org/10.48550/arxiv.1510.03491

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+	Nonhomogeneous Boundary-Value Problems for One-Dimensional Nonlinear Schrödinger Equations	2015	Jerry L. Bona Shu-Ming Sun Bing‐Yu Zhang
+	Nonlinear Dispersive Equations	2006	Terence Tao
+	Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power	1993	Franck Merle
+ PDF Chat	The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line	2005	Justin Holmer
+	Sharp upper bound on the blow-up rate for the critical nonlinear Schr�dinger equation	2003	Frank Merle Pierre Raphaël
+	Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimension	1988	M. J. Landman George Papanicolaou Catherine Sulem P. L. Sulem
+ PDF Chat	The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity	2003	Gianfausto Dell’Antonio Rodolfo Figari Alessandro Teta Riccardo Adami
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey
+ PDF Chat	On the Formation of Singularities in Solutions of the Critical Nonlinear Schrödinger Equation	2001	Galina Perelman
+	Stability of the log-log bound for blow up solutions to the critical non linear Schr�dinger equation	2005	Pierre Raphaël