2023/11/27 by Ralph Chill, Chill, Ralph, Burkhard Claus +1
Computer Science · Engineering · Mathematics · #31C25 #31C45 #47H20 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Stability and Controllability of Differential Equations #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2311.16341
openalex publication_date 2023/11/27 · openalex created_date 2023/11/30 · openalex updated_date 2026/07/28
In this article we study perturbations of local, nonlinear Dirichlet forms on arbitrary topological measure spaces. We show that the semigroup of a local Dirichlet form \(E\) dominates the semigroup generated by another functional \(F\) if, and only if, \(F\) is a specific zero order perturbation of \(E\). This helps to classify the perturbations that lie between Neumann and Dirichlet boundary conditions.