14 citations · 14 across the 4 of their papers we have counts for
3 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…
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…
Linear Hyperbolic Systems on Networks
Marjeta Kramar Fijavž, Delio Mugnolo, Serge Nicaise
We study hyperbolic systems of one-dimensional partial differential equations under general, possibly non-local boundary conditions. A large class of evolution equations, either on…