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Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates |
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| Authors: | Hongjie?Dong author-information" > author-information__contact u-icon-before" > mailto:Hongjie_Dong@brown.edu" title=" Hongjie_Dong@brown.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | 1.Division of Applied Mathematics,Brown University,Providence,USA |
| Abstract: | We establish several gradient estimates for second-order divergence type parabolic and elliptic systems. The coefficients and data are assumed to be Hölder or Dini continuous in the time variable and all but one spatial variable. This type of system arises from the problems of linearly elastic laminates and composite materials. For the proof, we use Campanato’s approach in a novel way. Non-divergence type equations under similar conditions are also discussed. |
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