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
Institute for Applied Mathematics, Baku State University, 23 Z.Khalilov Street, Baku 370148, Azerbaijan
Received 8 March 2003; Revised 1 November 2003
Copyright © 2004 Sh. M. Nasibov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.