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
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.