کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418669 1339345 2013 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lipschitz stability in an inverse problem for the main coefficient of a Kuramoto-Sivashinsky type equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Lipschitz stability in an inverse problem for the main coefficient of a Kuramoto-Sivashinsky type equation
چکیده انگلیسی

In this paper we consider the inverse problem of retrieving the main coefficient of a Kuramoto-Sivashinsky type equation from partial knowledge of a given single solution. In particular, we focus on the stability issue of the inverse problem. By using a method due to Bukhgeim-Klibanov and suitable Carleman estimates, we obtain a local Lipschitz stability result on an admissible set of main coefficients. As a part of this study, we prove the existence of a unique solution to this equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 408, Issue 1, 1 December 2013, Pages 275-290
نویسندگان
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