کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616418 1339349 2014 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Blow up of critical semilinear wave equations on Schwarzschild spacetime
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Blow up of critical semilinear wave equations on Schwarzschild spacetime
چکیده انگلیسی

In this paper, we established the blow up theorem for critical semilinear wave equations with focusing nonlinear term on Schwarzschild spacetime. Concavity method is used to prove the main result, which was introduced by Levine–Payne in the papers Levine and Payne (1974) [11] and [12] and Levine (1973) [7] in 1970s. Also, a new auxiliary function with parameter ββ is constructed following the idea from Payne (1975) [13], in order to guarantee that the result holds without any assumption on the initial data and initial energy.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 409, Issue 2, 15 January 2014, Pages 716–721
نویسندگان
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