ON THE PARTIAL REGULARITY OF WEAK SOLUTIONS OF NON-LINEAR PARABOLIC-SYSTEMS

ON THE PARTIAL REGULARITY OF WEAK SOLUTIONS OF NON-LINEAR PARABOLIC-SYSTEMS
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DOI:
10.1007/bf01215058
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发表时间:
1982-01-01
影响因子:
0.8
通讯作者:
STRUWE, M
STRUWE, M
中科院分区:
数学2区
文献类型:
--
作者:
GIAQUINTA, M;STRUWE, M

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本文的目的是将非线性椭圆型方程组的部分正则性结果推广到非线性抛物型方程组。实际上,我们打算表明,[9,10]中的方法也可以用于研究非线性抛物系统。因此,在下文中,我们将不考虑最一般的情况,而是将我们的研究局限于几个重要的问题。
The aim of this paper is to extend some of the partial regularity results obtained for nonlinear elliptic systems to nonlinear systems of parabolic type. Actually, we intend to show that the method in [9, 10] can be carried over to study also nonlinear parabolic systems. Therefore, in the following we shall not consider the most general case but we shall confine our study to a few significant problems.