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• W2890115650 abstract "In this paper, Lp estimates for a trilinear operator associated with the Hartree type nonlinearity are proved. Moreover, as application of these estimates, it is proved that after a linear transformation, the Cauchy problem for the Hartree-type equation becomes locally well posed in the Bessel potential and homogeneous Besov spaces under certain regularity assumptions on the initial data. This notion of well-posedness and the functional framework to solve the equation were firstly proposed by Y. Zhou." @default.
• W2890115650 created "2018-09-27" @default.
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• W2890115650 date "2019-01-01" @default.
• W2890115650 modified "2023-10-17" @default.
• W2890115650 title "Trilinear L estimates with applications to the Cauchy problem for the Hartree-type equation" @default.
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• W2890115650 doi "https://doi.org/10.1016/j.jmaa.2018.09.014" @default.
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