Ju l 2 01 2 Gradient Estimates for Parabolic Systems from Composite Material

@inproceedings{Li2012JuL2,
  title={Ju l 2 01 2 Gradient Estimates for Parabolic Systems from Composite Material},
  author={Haigang Li and Yanyan Li},
  year={2012}
}
In this paper we deriveW1,∞ and piecewiseC1,α estimates for solutions, and their t−derivatives, of divergence form parabolic systems with coe ffici nts piecewise Hölder continuous in space variables x and smooth int. This is an extension to parabolic systems of results of Li and Nirenberg on elliptic systems. These estimates depend on the shape and the size… CONTINUE READING