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《Journal of Jilin University (Science Edition)》 1992-01
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Regularity of Solution for Quasilinear Parabolic Equation System with Divergence Structure

Tan Zhong (Insititute of Mathematics, Jilin University, Changchun)  
The present paper covers the regularity of the gradient of Lipschitz continuous solutions of quasilinear parabolic systems of the typeu_t~k - D_j(a~(ij)(x,t,u,Du)D_iu~k) = f~k(x,t,u,Du), k = 1, 2,…, N, c~(1, a)-Paritial regularity is shown to hold under the general structural assumption and condition- D_j(a~(ij)(x,t,u,Du)) = h~i ∈L~∞(Q,R~N).
【Fund】: 国家自然科学基金
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