کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609327 1338506 2016 45 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
چکیده انگلیسی

This article is devoted to the analysis of control properties for a heat equation with a singular potential μ/δ2μ/δ2, defined on a bounded C2C2 domain Ω⊂RNΩ⊂RN, where δ   is the distance to the boundary function. More precisely, we show that for any μ≤1/4μ≤1/4 the system is exactly null controllable using a distributed control located in any open subset of Ω, while for μ>1/4μ>1/4 there is no way of preventing the solutions of the equation from blowing-up. The result is obtained applying a new Carleman estimate.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 5, 5 September 2016, Pages 2809–2853
نویسندگان
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