Boundary Representations of Intermediate forms between a Regular Dirichlet form and its Active Main Part

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.

Authors

Institutions

Publication Details

Journal
Potential Analysis
Published
2025-12-03
DOI
https://doi.org/10.1007/s11118-025-10251-y
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Boundary Representations of Intermediate forms between a Regular Dirichlet form and its Active Main Part

Matthias Keller, Marcel O. Schmidt, Michael Schwarz, Daniel Lenz et al.
Potential Analysis
Mathematical Dynamics and Fractals
article

Boundary Representations of Intermediate forms between a Regular Dirichlet form and its Active Main Part

Matthias Keller, Marcel O. Schmidt, Michael Schwarz, Daniel Lenz, Melchior Wirth
article en

Abstract

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.

Potential AnalysisVol. 64(1)
Institute of Science and Technology Austria (AT), University of Potsdam (DE), Goethe Institut (DE), Friedrich Schiller University Jena (DE), Leipzig University (DE)
Openalex Percentile: Top 57%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Boundary Representations of Intermediate forms between a Regular Dirichlet form and its Active Main Part — Matthias Keller, Marcel O. Schmidt, et al. · Potential Analysis (2025) | TGRS Research Map | TGRS