On nonlinear Dirichlet forms

18.12.2024, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Simon Puchert (Jena)

Abstract: The subject of nonlinear Dirichlet forms is rather new and as such, still has many simple open questions. In this talk, we will establish a new characterization that more closely resembles the well-known bilinear case. Furthermore, we show applications of function-valued analogues of the capacity set function and the resistance metric. The former answers an open problem posed by Burkhard Claus in his PhD thesis, while the latter generalizes the various known results on homogeneous forms.