RESEARCH IN RESIDENCE — Elliptic and parabolic equations originating from real world problems
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| Dates | September 29-October 10, 2025 |
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| Location | CIRM (Marseille Luminy), France |
| Organizer | CIRM – Centre International de Rencontres Mathematiques |
| Topics | |
| The abstract foundation of the book concerning functional analysis, special issues on Sobolev type function scales, and elliptic and parabolic regularity in case of non-smooth data, is already solid. However, the culminating last part of the book is still under discussion and editing. There, it is intended, using the theory established before, to give a condensed and unified treatment of wellposedness for several real-world problems, namely the thermistor problem, the Keller-Segel chemotaxis model, and the macroscopic semiconductor equations (Van Roosbroeck system) in case of Avalanche generation, all for the case of non-smooth spatial domains. These problems were open for decades and solved only recently by the authors and collaborators in journal articles. | |
