Convergence of operator-semigroups associated with generalised elliptic forms

Autor:	Mugnolo, Delio, Nittka, Robin
Rok vydání:	2011
Předmět:	Mathematics - Functional Analysis Mathematical Physics Mathematics - Analysis of PDEs Primary: 47D06 Secondary: 47B10
Zdroj:	Journal of Evolution Equations Volume 12, Number 3 (2012), 593-619
Druh dokumentu:	Working Paper
DOI:	10.1007/s00028-012-0146-2
Popis:	In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even if the form fails to be closable. As an intermediate step they have introduced so-called j-elliptic forms, which generalises the concept of elliptic forms in the sense of Lions. We push their analysis forward in that we discuss some perturbation and convergence results for semigroups associated with j-elliptic forms. In particular, we study convergence with respect to the trace norm or other Schatten norms. We apply our results to Laplace operators and Dirichlet-to-Neumann-type operators. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1107.1366 Zobrazit plný text záznamu View this record from Arxiv