On the Convergence of Hyperbolic Semigroups in Variable Hilbert Spaces
On the Convergence of Hyperbolic Semigroups in Variable Hilbert Spaces
复制标题
变希尔伯特空间中双曲半群的收敛性
DOI：
10.1007/s10958-005-0178-z
复制
发表时间：
2005
影响因子：
--
通讯作者：
S. Pastukhova
中科院分区：
文献类型：
--
作者：
S. Pastukhova
研究了作用在变Hilbert空间Hε中的非负自伴算子的预解式收敛性，其中预解式的极限是伪预解式.从半群的观点看，这种收敛性可用于Hε中相应的双曲算子方程的极限。本文研究的格式可应用于薄结构非平稳弹性问题的均匀化。
Resolvent convergence is considered for nonnegative self-adjoint operators acting in a variable Hilbert space Hε, with the limit of the resolvents being a pseudoresolvent. This convergence is used for passing to the limit in the corresponding hyperbolic operator equations in Hε viewed from the standpoint of semigroups. The scheme studied here can be applied to homogenization of nonstationary problems of elasticity for thin structures.