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The time fractional Schrödinger equation with a nonlinearity of Hartree type
Journal of Evolution Equations ( IF 1.1 ) Pub Date : 2021-01-01 , DOI: 10.1007/s00028-020-00658-y Humberto Prado , José Ramírez
中文翻译:
具有Hartree型非线性的时间分数次Schrödinger方程
更新日期:2021-01-01
Journal of Evolution Equations ( IF 1.1 ) Pub Date : 2021-01-01 , DOI: 10.1007/s00028-020-00658-y Humberto Prado , José Ramírez
The aim of this work is to show existence, uniqueness and regularity properties of local in time mild solutions for the nonlinear space-time fractional Schrödinger equation (1.1), with a fractional time derivative of order \(\alpha \in (0,1),\) and with a nonlinear term of Hartree type.
中文翻译:
具有Hartree型非线性的时间分数次Schrödinger方程
这项工作的目的是显示非线性时空分数Schrödinger方程(1.1)的时域温和解的局部存在,唯一性和正则性,分数阶导数为\(\ alpha \ in(0,1 ),\),并使用Hartree类型的非线性项。