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FIELD Math:Analysis August 06 (Fri), 2021 11:00-12:30 Online Kim, Youchan Park, Jung-Tae 서울시립대학교 Piecewise smoothness for linear elliptic systems with piecewise smooth coefficients Li and Vogelius in 2000 and Li and Nirenberg in 2003 showed piecewise $C^{1,\gamma}$ regularity for linear elliptic problems with piecewise $C^{\gamma}$ coefficients which come from composite materials.In this talk, we obtain piecewise $C^{m+1,\gamma}$ regularity for linear elliptic systems with piecewise $C^{m,\gamma}$ coefficients which also come from composite materials.This answers the open problem suggested by Li and Vogelius in 2000 and Li and Nirenberg in 2003. 226881628241414690_1.pdf

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