کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610776 | 1338584 | 2013 | 40 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Regularity in the obstacle problem for parabolic non-divergence operators of Hörmander type
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper we continue the study initiated in [15] concerning the obstacle problem for a class of parabolic non-divergence operators structured on a set of vector fields X={X1,â¦,Xq} in Rn with Câ-coefficients satisfying Hörmanderʼs finite rank condition, i.e., the rank of Lie[X1,â¦,Xq] equals n at every point in Rn. In [15] we proved, under appropriate assumptions on the operator and the obstacle, the existence and uniqueness of strong solutions to a general obstacle problem. The main result of this paper is that we establish further regularity, in the interior as well as at the initial state, of strong solutions. Compared to [15] we in this paper assume, in addition, that there exists a homogeneous Lie group G=(Rn,â,δλ) such that X1,â¦,Xq are left translation invariant on G and such that X1,â¦,Xq are δλ-homogeneous of degree one.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 10, 15 November 2013, Pages 3638-3677
Journal: Journal of Differential Equations - Volume 255, Issue 10, 15 November 2013, Pages 3638-3677
نویسندگان
Marie Frentz,