17 citations · 37 across the 14 of their papers we have counts for
10 papers · 1 filter
Ornstein--Uhlenbeck semigroup on rooted trees
Sahiba Arora, Marjeta Kramar Fijavž, Delio Mugnolo +1
We study Ornstein--Uhlenbeck operators on rooted metric trees equipped with a Gaussian-type measure. Using form methods, we construct Dirichlet and Neumann realisations correspondi…
Semigroups For Initial-Boundary Value Problems
Marjeta Kramar, Delio Mugnolo, Rainer Nagel
We review the theory of one-sided coupled operator matrices with a focus on evolution equations with inhomogeneous boundary conditions. (The original article had no abstract.)
Theory And Applications Of One-Sided Coupled Operator Matrices
Marjeta Kramar, Delio Mugnolo, Rainer Nagel
The theory of one-sided coupled operator matrices, recently introduced by K.-J. Engel, is an abstract framework for concrete initial value problems and allows complete information…
On solitary waves for the Korteweg--de Vries equation on metric star graphs
Delio Mugnolo, Diego Noja, Christian Seifert
We study the Korteweg--de Vries equation on a metric star graph and investigate existence of solitary waves on the metric graph in terms of the coefficients of the equation on each…
Ornstein--Uhlenbeck Semigroups on Star Graphs
Delio Mugnolo, Abdelaziz Rhandi
We prove first existence of a classical solution to a class of parabolic problems with unbounded coefficients on metric star graphs subject to Kirchhoff-type conditions. The result…
Dynamic Transmission Conditions for Linear Hyperbolic Systems on Networks
Marjeta Kramar Fijavž, Delio Mugnolo, Serge Nicaise
We study evolution equations on networks that can be modeled by means of hyperbolic systems. We extend our previous findings in \cite{KraMugNic20} by discussing well-posedness unde…