کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896567 | 1630585 | 2014 | 51 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global in time Strichartz estimates for the fractional Schrödinger equations on asymptotically Euclidean manifolds
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper, we prove global in time Strichartz estimates for the fractional Schrödinger operators, namely eâitÎgÏ with Ïâ(0,â)\{1} and Îg:=âÎg where Îg is the Laplace-Beltrami operator on asymptotically Euclidean manifolds (Rd,g). Let f0âC0â(R) be a smooth cutoff equal 1 near zero. We firstly show that the high frequency part (1âf0)(P)eâitÎgÏ satisfies global in time Strichartz estimates as on Rd of dimension dâ¥2 inside a compact set under non-trapping condition. On the other hand, under the moderate trapping assumption (1.12), the high frequency part also satisfies the global in time Strichartz estimates outside a compact set. We next prove that the low frequency part f0(P)eâitÎgÏ satisfies global in time Strichartz estimates as on Rd of dimension dâ¥3 without using any geometric assumption on g. As a byproduct, we prove global in time Strichartz estimates for the fractional Schrödinger and wave equations on (Rd,g), dâ¥3 under non-trapping condition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 275, Issue 8, 15 October 2018, Pages 1943-2014
Journal: Journal of Functional Analysis - Volume 275, Issue 8, 15 October 2018, Pages 1943-2014
نویسندگان
Van Duong Dinh,