کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8959472 1646321 2018 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quantitative uniqueness of solutions to parabolic equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Quantitative uniqueness of solutions to parabolic equations
چکیده انگلیسی
We investigate the quantitative uniqueness of solutions to parabolic equations with lower order terms on compact smooth Riemannian manifolds. Quantitative uniqueness is a quantitative form of strong unique continuation property. We characterize quantitative uniqueness by the rate of vanishing. We can obtain the sharp vanishing order for solutions in term of the C1,1 norm of the potential functions, as well as the L∞ norm of the coefficient functions. Some new quantitative Carleman estimates and three cylinder inequalities are established.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 275, Issue 9, 1 November 2018, Pages 2373-2403
نویسندگان
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