Rate of L 2 concentration of blow-up solutions for the nonlinear Schro¨dinger equation with critical power

[1]  R. Glassey.  On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations , 1977 .

[2]  F. Weissler.  Existence and non-existence of global solutions for a semilinear heat equation , 1981 .

[3]  Limit of the solution of a nonlinear Schrödinger equation at blow-up time , 1989 .

[4]  Frank Merle,et al.  Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity , 1990 .

[5]  Yoshikazu Giga,et al.  Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system , 1986 .

[6]  J. Ginibre,et al.  On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case , 1979 .

[7]  Tosio Kato,et al.  On nonlinear Schrödinger equations , 1987 .

[8]  George Papanicolaou,et al.  Focusing and multi-focusing solutions of the nonlinear Schro¨dinger equation , 1988 .

[9]  Michael I. Weinstein,et al.  On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations , 1986 .

[10]  Walter A. Strauss,et al.  Existence of solitary waves in higher dimensions , 1977 .

[11]  M. Weinstein.  Nonlinear Schrödinger equations and sharp interpolation estimates , 1983 .

[12]  Thierry Cazenave,et al.  The Cauchy problem for the nonlinear Schrödinger equation in H1 , 1988 .

[13]  Thierry Cazenave,et al.  The Cauchy problem for the critical nonlinear Schro¨dinger equation in H s , 1990 .

[14]  O. Kavian,et al.  A remark on the blowing-up of solutions to the Cauchy problem for nonlinear Schrödinger equations , 1987 .

[15]  Yoshio Tsutsumi,et al.  L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity , 1990 .