Journal of Applied Mathematics 
Volume 2004 (2004), Issue 1, Pages 23-35
doi:10.1155/S1110757X04303049

On some sufficient conditions for the blow-up solutions of the nonlinear Ginzburg-Landau-Schrödinger evolution equation

Sh. M. Nasibov

Institute for Applied Mathematics, Baku State University, 23 Z.Khalilov Street, Baku 370148, Azerbaijan

Received 8 March 2003; Revised 1 November 2003

Abstract

Investigation of the blow-up solutions of the problem in finite time of the first mixed-value problem with a homogeneous boundary condition on a bounded domain of n-dimensional Euclidean space for a class of nonlinear Ginzburg-Landau-Schrödinger evolution equation is continued. New simple sufficient conditions have been obtained for a wide class of initial data under which collapse happens for the given new values of parameters.