带时间依赖的阻尼/增益分数阶Hartree方程解的全局存在性

Global Existence for Solution of Fractional Hartree Equation with Time-Dependent Damping/Gain

利用Bootstrap论证方法,考虑一类带时间依赖的阻尼/增益分数阶Hartree方程解的全局存在性.分别从阻尼/增益系数和初值两方面讨论解全局存在的条件,得到了所讨论分数阶Hartree方程仅依赖于阻尼/增益系数,以及仅依赖于初值大小解的全局存在性条件.

By using a bootstrap argument method,we considered the global existence for the solution of a class of fractional Hartree equations with time-dependent damping/gain.We discussed the global existence condition of the solution from two aspects of the damping/gain coefficients and the initial value,respectively.We obtained a global existence condition of the fractional Hartree equation which only depends on the damping/gain coefficients and only depends on the initial value of the solution.