English

Boundary representations of intermediate forms between a regular Dirichlet form and its active main part

Functional Analysis 2023-01-04 v1 Analysis of PDEs

Abstract

We characterize all semigroups sandwiched between the semigroup of a Dirichlet form and the semigroup of its active main part. In case the Dirichlet form is regular, we give a more explicit description of the quadratic forms of the sandwiched semigroups in terms of pairs consisting of an open set and a measure on an abstract boundary.

Keywords

Cite

@article{arxiv.2301.01035,
  title  = {Boundary representations of intermediate forms between a regular Dirichlet form and its active main part},
  author = {Matthias Keller and Daniel Lenz and Marcel Schmidt and Michael Schwarz and Melchior Wirth},
  journal= {arXiv preprint arXiv:2301.01035},
  year   = {2023}
}
R2 v1 2026-06-28T08:00:39.789Z