Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals
Approximation of abstract Cauchy problems for dissipative operators with respect to metric-like functionals
复制标题
耗散算子关于类度量泛函的抽象柯西问题的近似
DOI：
10.1016/j.jmaa.2019.123406
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发表时间：
2019
影响因子：
1.3
通讯作者：
Naoki Tanaka
中科院分区：
文献类型：
--
作者：
Naoki Tanaka;Naoki Tanaka
This paper discusses approximation of semigroups of locally Lipschitz operators by discrete semigroups of local quasi-contractions with respect to metric-like functionals. The main approximation result not only extends a product formula for contractive semigroups generated by maximal dissipative operators in real Hilbert spaces but also gives an algorithm for solving a mixed problem for the Kirchhoff equation to which the contractive semigroup theory or Kato's quasilinear theory cannot directly apply.
