Boundary gradient estimates for parabolic and elliptic systems from linear laminates

Hongjie Dong; Jingang Xiong

Boundary gradient estimates for parabolic and elliptic systems from linear laminates

Analysis of PDEs 2016-01-12 v1

Authors: Hongjie Dong , Jingang Xiong

Abstract

We study boundary gradient estimates for second-order divergence type parabolic and elliptic systems in $C^{1,\alpha}$ domains. The coefficients and data are assumed to be H\"older in the time variable and all but one spatial variables. This type of systems arises from the problems of linearly elastic laminates and composite materials.

Keywords

gradient estimates parabolic partial differential equations elliptic partial differential equations

Cite

@article{arxiv.1312.4219,
  title  = {Boundary gradient estimates for parabolic and elliptic systems from linear laminates},
  author = {Hongjie Dong and Jingang Xiong},
  journal= {arXiv preprint arXiv:1312.4219},
  year   = {2016}
}

Comments

18 pages, submitted

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