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math.AP2013★ 2 cited
Local Strong Solutions for the Non-Linear Thermoelastic Plate Equation on Rectangular Domains in -Spaces
Stephan Fackler, Tobias Nau
We consider the non-linear thermoelastic plate equation in rectangular domains . More precisely, is considered to be given as the Cartesian product of whole or half spaces a…
math.AP2012★ 10 cited
Regularity of Semigroups via the Asymptotic Behaviour at Zero
Stephan Fackler
An interesting result by T. Kato and A. Pazy says that a contractive semigroup (T(t)) on a uniformly convex space X is holomorphic iff limsup_{t \downarrow 0} ||T(t)-Id|| < 2. We s…