کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665469 1633817 2015 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds
چکیده انگلیسی

We prove the global-in-time Strichartz estimates for wave equations on the nontrapping asymptotically conic manifolds. We obtain estimates for the full set of wave admissible indices, including the endpoint. The key points are the properties of the microlocalized spectral measure of Laplacian on this setting showed in [18] and a Littlewood–Paley squarefunction estimate. As applications, we prove the global existence and scattering for a family of nonlinear wave equations on this setting.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 271, 5 February 2015, Pages 91–111
نویسندگان
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