具不连续系数拟线性抛物组的Morrey正则性

Morrey regularity for quasi-linear parabolic system with discontinuous coefficient

目的研究一类具不连续系数的拟线性抛物方程组弱解的正则性。方法利用先验估计法和Campanato凝固系数法。结果给出了抛物方程组弱解梯度的反向Hlder不等式。结论获得了具VMO系数的抛物方程组弱解的Morrey正则性。

Aim To study the regularity for the weak solutions of a class of quasi-linear continuous coefficients. Methods A-priori estimate technique and Campanato＇s freezing A reverse HOlder＇s Conclusion Morrey inequality regularity parabolic system with dismethod are used. Results with respect to gradient of the weak solutions for the parabolic system is obtained. for the weak solution of the parabolic system with VMO coefficient is achieved.