Abstract
In this paper, we study the initial-boundary value problem of one class of nonlinear Schrödinger equations described in molecular crystals. Furthermore, the existence of the global solution is obtained by means of interpolation inequality and a priori estimation.
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Contributed by GUO Bo-ling
Project supported by the National Natural Science Foundation of China (Nos. 10576013, 10471050) and the Natural Science Foundation of Guangdong Province of China (No. 5300889)
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Fang, Sm., Guo, Bl. Initial-boundary value problem of one class of nonlinear Schrödinger equations described in molecular crystals. Appl. Math. Mech.-Engl. Ed. 29, 139–144 (2008). https://doi.org/10.1007/s10483-008-0201-x
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DOI: https://doi.org/10.1007/s10483-008-0201-x