2014.07.22 17:54
실적년도 | 2012년 |
---|---|
논문구분 | 국외 |
총저자 | Sun-Sig Byun, Dian K. Palagachev, Lihe Wang |
학술지명 | International Mathematics Research Notices |
권(Vol.) | 2013 |
호(No.) | 13 |
게재년월 | 년 월 |
Impact Factor | |
SCI 등재 | |
비고 |
We consider a parabolic system in divergence form with measurable coefficients in a nonsmooth bounded domain to obtain a global gradient estimate for the weak solution in the setting of Orlicz space which is a natural generalization of Lp space. The coefficients are assumed to be merely measurable in one spatial variable and have small bounded mean oscillation semi-norms in all the other variables. The boundary of the domain can be locally approximated by a hyperplane, a so-called δ-Reifenberg domain which is beyond the Lipschitz category.