Optimal partial regularity of second-order parabolic systems under natural growth condition
نویسندگان
چکیده
منابع مشابه
Boundary regularity for elliptic systems under a natural growth condition
We consider weak solutions u ∈ u0 +W 1,2 0 (Ω,R )∩L∞(Ω,RN ) of second order nonlinear elliptic systems of the type −div a( · , u,Du) = b( · , u,Du) in Ω with an inhomogeneity obeying a natural growth condition. In dimensions n ∈ {2, 3, 4} we show that Hn−1-almost every boundary point is a regular point for Du, provided that the boundary data and the coefficients are sufficiently smooth. Mathema...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2013
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2013-152