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Major challenges:

For the analysis and numerical analysis of non-smooth non-convex functionals we cannot rely on techniques involving e.g. lower-semi-continuity or reflexivity of Banach spaces. For the algorithmic realization of problems involving Lp functionals, with p∈ (0,1), or truncated Lp functionals with p > 0, we cannot rely on currently available techniques. The dynamical systems behavior of the bidomain equations, a singular reaction-diffusion system coupled with ordinary differential equations, is tremendously rich. Even after model reduction, solving the HJB equation related to optimal control of PDEs remains challenging.

Head of institute

Univ.-Prof. Dipl.-Math. Dr.

Kristian Bredies

Institut für Mathematik und Wissenschaftliches Rechnen

Phone:+43 316 380 - 5170


General inquiries Phone:+43 (0)316 380 - 5160
Fax:+43 (0)316 380 - 9827

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