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

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  • Sh. M. Nasibov

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.

Suggested Citation

  • Sh. M. Nasibov, 2004. "On some sufficient conditions for the blow-up solutions of the nonlinear Ginzburg-Landau-Schrödinger evolution equation," Journal of Applied Mathematics, Hindawi, vol. 2004, pages 1-13, January.
    • Handle: RePEc:hin:jnljam:848107
    DOI: 10.1155/S1110757X04303049
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