A W-2(n)-theory of elliptic and parabolic partial differential systems in C-1 domains

作者：Kim Kyeong Hun^*; Lee Kijung

来源：Journal of Mathematical Analysis and Applications, 2012, 391(2): 397-414.

DOI：10.1016/j.jmaa.2012.02.061

• Elliptic systems
• Parabolic systems
• Weighted Sobolev spaces

In this paper we consider the second-order parabolic partial differential systems and elliptic systems with C-1 space domains. We prove the existence and uniqueness results in the Sobolev spaces with weights. In this solution spaces the derivatives of solutions are allowed to blow up near the boundary and also the coefficients of the systems may oscillate to a great extent or blow up near the boundary.

• 出版日期2012-7-15