3 papers
math.AP2026
Characterisation of homogenisation for nonlocal diffusion by local topologies
Andreas Buchinger, Krešimir Burazin, Ivana Crnjac +3
We consider fractional variants of divergence form problems with highly oscillatory local coefficients. We characterise the convergence of these coefficients by means of classical…
math.FA2025
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…
math.AP2024
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…