具线性增长系数的拟线性挠射问题弱解的正则性

The regularity of weak solutions for the quasi-linear diffraction problems with linear growth coefficients

讨论了具特殊主部和线性增长系数的n维拟线性抛物挠射问题,利用估计和平均函数方法,证明了弱解在内边界附近的一些正则性质.把这些正则性结果从线性问题推广到这种拟线性问题.

N-dimeansional quasi-linear diffraction problems with special principle part and linear growth coefficients are considered. By using estimates and average functions methods, the authors prove some regularity properties of the weak solutions in the neighborhood of the inner boundary, and extend these regularity results from linear problem to the special quasi-linear one.