Abstract
In this paper, we study the inhomogeneous Schrödinger equation
By using variational methods and a refined interpolation inequality, we establish some simple but sharp conditions on the solutions which exist globally or blow up in a finite time. An interesting result is that we obtain the existence of global solution for arbitrarily large data.
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Supported by Youth Foundation of NSFC (10501006) and by the program for NCETFJ.
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Chen, J. On a class of nonlinear inhomogeneous Schrödinger equation. J. Appl. Math. Comput. 32, 237–253 (2010). https://doi.org/10.1007/s12190-009-0246-5
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DOI: https://doi.org/10.1007/s12190-009-0246-5