کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4611380 1338619 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Applications of Fourier analysis in homogenization of Dirichlet problem I. Pointwise estimates
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Applications of Fourier analysis in homogenization of Dirichlet problem I. Pointwise estimates
چکیده انگلیسی

In this paper we prove convergence results for homogenization problem for solutions of partial differential system with rapidly oscillating Dirichlet data. Our method is based on analysis of oscillatory integrals. In the uniformly convex and smooth domain, and smooth operator and boundary data, we prove pointwise convergence results, namely|uε(x)−u0(x)|⩽Cκε(d−1)/21d(x)κ,∀x∈D,∀κ>d−1, where uεuε and u0u0 are solutions of respectively oscillating and homogenized Dirichlet problems, and d(x)d(x) is the distance of x from the boundary of D  . As a corollary for all 1⩽p<∞1⩽p<∞ we obtain LpLp convergence rate as well.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 254, Issue 6, 15 March 2013, Pages 2626–2637
نویسندگان
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