کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610630 | 1338576 | 2014 | 62 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We establish Schauder a priori estimates and regularity for solutions to a class of boundary-degenerate elliptic linear second-order partial differential equations. Furthermore, given a C∞C∞-smooth source function, we prove C∞C∞-regularity of solutions up to the portion of the boundary where the operator is degenerate. Boundary-degenerate elliptic operators of the kind described in our article appear in a diverse range of applications, including as generators of affine diffusion processes employed in stochastic volatility models in mathematical finance [10] and [25], generators of diffusion processes arising in mathematical biology [3] and [11], and the study of porous media [7] and [8].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 3, 1 February 2014, Pages 895–956
Journal: Journal of Differential Equations - Volume 256, Issue 3, 1 February 2014, Pages 895–956
نویسندگان
Paul M.N. Feehan, Camelia A. Pop,