کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
11021730 1703049 2019 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Trilinear Lp estimates with applications to the Cauchy problem for the Hartree-type equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Trilinear Lp estimates with applications to the Cauchy problem for the Hartree-type equation
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 469, Issue 1, 1 January 2019, Pages 321-341
نویسندگان
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