5 papers
On controllability, observability and stabilizability of the heat equation on discrete graphs
Florentin Münch, Christian Seifert, Peter Stollmann +1
We consider linear control problems for the heat equation of the form , , where is the weighted Laplacian on…
Spatial Approximation for Evolutionary Equations
Andreas Buchinger, Christian Seifert, Sascha Trostorff +1
We consider evolutionary equations as introduced by R.\ Picard in 2009 and develop a general theory for approximation which can be seen as a theoretical foundation for numerical an…
Duality for Evolutionary Equations with Applications to Null Controllability
Andreas Buchinger, Christian Seifert
We study evolutionary equations in exponentially weighted -spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe…
Approximation of Random Evolution Equations of Parabolic type
Katharina Klioba, Christian Seifert
In this paper, we present an abstract framework to obtain convergence rates for the approximation of random evolution equations corresponding to a random family of forms determined…
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…