ANALYTICITY OF SEMIGROUPS GENERATED BY HIGHER ORDER ELLIPTIC OPERATORS IN SPACES OF BOUNDED FUNCTIONS ON C-l DOMAINS

作者：Suzuki Takuya^*

来源：Advances in Differential Equations, 2017, 22(9-10): 593-620.

This paper shows the analyticity of semigroups generated by higher order divergence type elliptic operators in L-infinity spaces in C-1 domains which may be unbounded. For this purpose, we establish resolvent estimates in L-infinity spaces by a contradiction argument based on a blow-up method. Our results yield the L-infinity analyticity of solutions of parabolic equations for C-1 domains.

• 出版日期2017-10