کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665437 1633814 2015 55 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces
چکیده انگلیسی

We consider both divergence and non-divergence parabolic equations on a half space in weighted Sobolev spaces. All the leading coefficients are assumed to be only measurable in the time and one spatial variable except one coefficient, which is assumed to be only measurable either in the time or the spatial variable. As functions of the other variables the coefficients have small bounded mean oscillation (BMO) semi-norms. The lower-order coefficients are allowed to blow up near the boundary with a certain optimal growth condition. As a corollary, we also obtain the corresponding results for elliptic equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 274, 9 April 2015, Pages 681–735
نویسندگان
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