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Universität Augsburg
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Universität Augsburg
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Dr. Martin Heida
WIAS & TUM
spricht am
Donnerstag, 16. Januar 2020
um
15:45 Uhr
im
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
über das Thema:
| Abstract: |
| We provide uniform extension and trace operators for W1,p -functions on randomly perforated domains, where the geometry is assumed to be stationary ergodic. Such extension and trace operators are important for compactness in stochastic homogenization. In contrast to former results, we use very weak assumptions on the geometry which we call local (δ,M)-regularity and isotropic cone mixing. The first concept measures local Lipschitz regularity of the domain while the second measures the mesoscopic distribution of void space. In particular we do not require a minimal distance between the inclusions and we allow for globally unbounded Lipschitz constants and percolating holes. A typical example is the Poisson ball process, i.e. an i.i.d. set of balls which are allowed to intersect. |
| Hierzu ergeht herzliche Einladung. |