Analyticity of absorption semigroups
Copyright policy )Analyticity of absorption semigroups
If \(U\) is an analytic positive \(C_0\) semigroup on \(L^p(\Omega)\) generated by \(T\) and \(V\) is a measurable function on \(\Omega\), then by Voigt's perturbation theory we can construct \(U_V(t)\), the positive \(C_0\) semigroup generated (formally) by \(T-V\). The author gives conditions under which \(U_V\) has an analytic extension, with application (among others) to the absorption semigroup generated by the heat operator.
- University of Tokyo Japan
- Tokyo University of Science Japan
- DigiZeitschriften Germany
510.mathematics, One-parameter semigroups and linear evolution equations, General theory of partial differential operators, analytic extension, Voigt's perturbation theory, Article, analytic positive \(C_ 0\) semigroup, absorption semigroup generated by the heat operator
510.mathematics, One-parameter semigroups and linear evolution equations, General theory of partial differential operators, analytic extension, Voigt's perturbation theory, Article, analytic positive \(C_ 0\) semigroup, absorption semigroup generated by the heat operator
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!