کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8904900 | 1633759 | 2018 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sharp Lp estimates for singular transport equations
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We prove that Lp estimates for a singular transport equation are sharp by building what we call a cascading solution; the equation we consider studies the combined effect of multiplying by a bounded function and application of the Hilbert transform. Along the way we prove an invariance result for the Hilbert transform which could be of independent interest. Finally, we give an example of a bounded and incompressible velocity field u for which the equation:âtf+uâ
âf=H(f) develops sharp Lp growth. The equations we study are relevant, as models, in the study of fluid equations as well as in general relativity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 329, 30 April 2018, Pages 1285-1306
Journal: Advances in Mathematics - Volume 329, 30 April 2018, Pages 1285-1306
نویسندگان
Tarek M. Elgindi,