Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11021730 | Journal of Mathematical Analysis and Applications | 2019 | 21 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gaku Hoshino, Ryosuke Hyakuna,