在分子晶体中的一类广义非线性Schrödinger方程组的初边值问题

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1.
华南农业大学数学系, 广州 510642;2.韶关学院数学系,广东韶关 513005;3.北京应用物理与计算数学研究所,北京8009信箱,北京 100088

基金项目: 国家自然科学基金资助项目(10576013;10471050);广东省自然科学基金资助项目(5300889)

Initial-Boundary Value Problem of One Class Nonlinear Schrêdinger Equations Described in Molecular Crystals

1.
Department of Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China;

摘要: 研究了在分子晶体中的一类广义非线性Schrdinger方程组的初边值问题．应用先验估计的方法,得到了整体解的存在性．
- 非线性Schrdinger方程组 /
- 初边值问题 /
- 先验估计 /
- 整体解
Abstract: The initial-boundary value problem of one class nonlinear Schrêdinger equations described in molecular crystals is studied.Furthermore,the existence of the global solution is obtained by means of interpolation inequality and a priori estimation.
- nonlinear Schrêdinger equation /
- initial-boundary value problem /
- a priori estimate /
- global solution

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