On an EVI curve characterization of Hilbert spaces |
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Authors: | Max-K. von Renesse Jonas M. Tölle |
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Affiliation: | Institut für Mathematik, Technische Universität Berlin (MA 7-5), Straße des 17. Juni 136, 10623 Berlin, Germany |
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Abstract: | It is shown that the existence of a large enough collection of EVI (evolution variational inequality) curves for a lower semi-continuous functional on a Banach space implies that the space is in fact a Hilbert space. The main result is exemplified by the p-Laplacian evolution in Banach space. |
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