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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
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
Journal: Journal of Mathematical Analysis and Applications - Volume 469, Issue 1, 1 January 2019, Pages 321-341
نویسندگان
Gaku Hoshino, Ryosuke Hyakuna,