Generation of analytic semigroups by strongly elliptic operators under general boundary conditions
Generation of analytic semigroups by strongly elliptic operators under general boundary conditions
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DOI：
10.1090/s0002-9947-1980-0561838-5
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发表时间：
1980
影响因子：
1.3
通讯作者：
H. Stewart
中科院分区：
文献类型：
--
作者：
H. Stewart
强椭圆算子的一致收敛拓扑生成解析半群的发展运营商，实现在一般边界条件下（可能）无界域。应用到抛物型初边值问题解的存在性和正则性。引用
Strongly elliptic operators are shown to generate analytic semigroups of evolution operators in the topology of uniform convergence, when realized under general boundary conditions on (possibly) unbounded domains. An application to the existence and regularity of solutions to parabolic initial-boundary value problems is indicated. References