Convergence of operator-semigroups associated with generalised elliptic forms

Details Convergence of operator-semigroups associated with generalised elliptic forms Convergence of operator-semigroups associated with generalised elliptic forms

2011-07-07

arxiv.org/abs/1107.1366v2

Mathematics

Functional Analysis

22 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Convergence of operator-semigroups associated with generalised elliptic forms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Convergence of operator-semigroups associated with generalised elliptic forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence of operator-semigroups associated with generalised elliptic forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-416825