λṽ on Γ × (0, T ), ũ(·, 0) = u0 and ṽ(·, 0) = v0 on Γ. (2.5a) (2.5b) (2.5c) We show the existence of unique solutions (ũ, ṽ) of (2.5a)–(2.5c) on Γ×[0, T ] of parabolic Hölder class (2 + β). In addition [...] ṽ(·, 0) = v0 on Γ, (2.5a) (2.5b) (2.5c) where Ṽ is assumed to be essentially bounded by Λ̃1 > 0 from Lemma 2.3 and being in the space Hβ,β/2(ΩT ). Then, for the system (2.5a)–(2.5c), we find with Assumption [...] (2.5a)–(2.5c) of class H2+β,(2+β)/2(Γδ). We notice that δ > 0 depends on the Lipschitz-constants of the nonlinearities, d, ‖u0‖C2+α(Γ), ‖v0‖C2+α(Γ), |Ṽ |(β) ΩT . 2nd step: We treat (2.5a) and (2.5b) on …

180 5 Bewertung des Wirtschaftlichkeitsfaktors BIM ..................................... 182 5.1 Vorbemerkungen ............................................................................... 182 5.2 M [...] ........... 184 5.2.1 Übersetzung qualitativer Argumentationen ...................................... 185 5.2.2 Option 1: ĂBIM erhºht/verringert die Einnahmen und Ausgabenñ .... 186 5.2.3 Option 2: ĂBIM [...] 190 5.3 Anwendungsbeispiel: BIM oder kein BIM? ...................................... 192 5.3.1 Ausgangssituation ........................................................................... 192 5.3.2 …

Gleichstellungskonzept_Mathematik_2014_2016-neu

2014 bis 2016 3 33,5% 30,7% 17,4% 21,9% 25,2% 21,3% 51,1% 22,3% 31,6% 19,2% 62,2% 64,0% 55,3% 49,0% 47,6% 66,7% 56,1% 61,1% 61,0% 59,3% 46,7% 51,4% 53,9% 64,0% 66,0% 62,5% 100,0% 90,0% 66,5% 69,3% 82,6% 78 [...] von Männern im Lehramtsstudium Mathematik geeignet sind.) W is s. H ilf sk rä fte (W H F) w: 37,5% w: 47,5% Erläuterung zu Hilfskräften (s.o.) Maßnahmen (s.o.) Ab 2014/2015 ändern sich die Beschäftigun [...] 80,8% 37,8% 36,0% 44,7% 51,0% 52,4% 33,3% 43,9% 38,9% 39,0% 40,7% 53,3% 48,6% 46,1% 36,0% 34,0% 37,5% 10,0% 100,0% 0% 20% 40% 60% 80% 100% Le hr am t 1. F S B ac he lo r B ac he lo r in sg es am t A bs …

Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness

we have v(x) 1 21B(0,r/2); hence, the requirements of Example 3.5 (i) are satisfied. We can also consider the situation of Example 3.5 (ii) for this choice of v. To this end, note that v(·/t) has Lipschitz [...] which provides us with E ( Tr [ χ[E−ε,E+ε](HL ω ) ]) CE+Jε′Ld(#Q). Now, we use that #Q K5L d for some constant K5 > 0 depending only on the dimension d and that ε′ = (4ε)1/τ K6ε 1/τ for some constant K6 [...] e. second order elliptic operators where the second order term is random, were studied in, e.g., [3–5, 17]. The interest in these operators stems from the study of propagation of classical and electromagnetic …