Derivative estimates of solutions of elliptic systems in narrow regions

Li, HaiGang; Li, YanYan; Bao, Ellen; Yin, Biao

doi:10.1090/S0033-569X-2014-01339-0

Authors: HaiGang Li, YanYan Li, Ellen ShiTing Bao and Biao Yin
Journal: Quart. Appl. Math. 72 (2014), 589-596
MSC (2010): Primary 35J25, 35Q74, 74Bxx
DOI: https://doi.org/10.1090/S0033-569X-2014-01339-0
Published electronically: June 10, 2014
MathSciNet review: 3237564
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Abstract: In this paper, we establish $C^k$ estimates for a class of elliptic systems, including linear systems of elasticity, in a narrow region. The problem arises from studies of fiber-reinforced elastic composite materials.

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