论文标题
具有$ p $结构的非线性抛物线系统的时空离散化
Space-time discretization for nonlinear parabolic systems with $p$-structure
论文作者
论文摘要
在本文中，我们考虑具有椭圆形部分的非线性抛物线系统，也可以退化。我们证明了足够平稳的解决方案的最佳误差估计。关于以前的结果，主要的新颖性是我们获得了直接引入中间半分化问题的估计值。此外，如果问题的数据足够平稳，我们还证明了与请求的规律性相关的解决方案的存在。
In this paper we consider nonlinear parabolic systems with elliptic part which can be also degenerate. We prove optimal error estimates for smooth enough solutions. The main novelty, with respect to previous results, is that we obtain the estimates directlywithout introducing intermediate semi-discrete problems. In addition, we prove the existence of solutions of the continuous problem with the requested regularity, if the data of the problem are smooth enough.
