desired solution of the difficult problem. We propose a methodology for the systematic construction of such zero curves for discrete-time optimal control problems drawing upon the theory of globally-convergent
on large simulations. Well-Balanced (WB) schemes provide one alternative solution to this issue. Such methods preserve (non-trivial) steady-states of the system to order machine precision, in turn allowing
and such a restriction yields a function that lies in an appropriate Besov space with a non-integer amount of regularity. First, we show some basic trace results. We will then exhibit that such a procedure […] a "minimally smooth" boundary. If time permits, we will discuss the optimality and applications of such sharp results.
ed functions in L^1 fulfilling a co-canceling differential condition. This work demonstrates that such a property is not just peculiar to the space L^1. Indeed, under the same differential constraint, […] canceling differential operators are offered for general families of rearrangement-invariant spaces, such as the Orlicz spaces and the Lorentz-Zygmund spaces. Especially relevant instances of inequalities
fractional Sobolev spaces $\H^{s}(\mathbb{R}^n)$. Equivalent characterizations with different norms, such as through Littlewood-Paley decompositions or finite differences (Sobolev-Slobodeckij/Gagliardo norms)
indices. It allows us to also recover various global-in-time $\mathrm{L}^q$-maximal regularity results, such as, for example, an $\mathrm{L}^1_t(\dot{\mathrm{B}}^{s}_{p,1})$ result, which can be of central interest
die Umsetzung von Klimaschutzprojekten gemeinnütziger Institutionen zu fördern, ist die ERA auf der Suche nach weiteren Unterstützern für den Klimaschutzfonds. Unternehmen, Vereine, Kommunen, Institutionen
wegzuschauen, sondern durch solidarische Verantwortung den Betroffenen Hilfe anzubieten und sie bei der Suche nach Lösungen zu unterstützen. Die Technische Universität Clausthal fördert aktiv eine Kultur der
Es wurden europäische Verordnungen – unter anderem die Maschinen-, Daten- und KI-Verordnung – untersucht und daraus konkrete Anforderungen im Anwendungsbereich von automatisierten Landmaschinen abgeleitet
