کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774355 | 1413556 | 2017 | 132 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
L2 Solvability of boundary value problems for divergence form parabolic equations with complex coefficients
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider parabolic operators of the formât+L,L=âdivA(X,t)â, in R+n+2:={(X,t)=(x,xn+1,t)âRnÃRÃR:xn+1>0}, nâ¥1. We assume that A is a (n+1)Ã(n+1)-dimensional matrix which is bounded, measurable, uniformly elliptic and complex, and we assume, in addition, that the entries of A are independent of the spatial coordinate xn+1 as well as of the time coordinate t. For such operators we prove that the boundedness and invertibility of the corresponding layer potential operators are stable on L2(Rn+1,C)=L2(âR+n+2,C) under complex, Lâ perturbations of the coefficient matrix. Subsequently, using this general result, we establish solvability of the Dirichlet, Neumann and Regularity problems for ât+L, by way of layer potentials and with data in L2, assuming that the coefficient matrix is a small complex perturbation of either a constant matrix or of a real and symmetric matrix.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 3, 5 February 2017, Pages 2808-2939
Journal: Journal of Differential Equations - Volume 262, Issue 3, 5 February 2017, Pages 2808-2939
نویسندگان
Kaj Nyström,