Singular PDEs: regularity and homogenization |
Peter Bella, TU Dortmund |
Donnerstag, 2024-06-13 16:10Uhr |
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I will mostly focus on the regularity theory and homogenization for elliptic equations with degenerate unbounded coefficients, both at the deterministic (mostly done with Mathias Schäffner) as well as stochastic level. While already interesting on its own, I will mention two areas of use for these: study of regularity of critical points for variational integrals as well as invariance principle for random walks in random environments. At the end, I will conclude with a short discussion of few result in quantitative stochastic homogenization.. |