Minimizing movements and evolution problems in Euclidean spaces |
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Authors: | Massimo Gobbino |
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Affiliation: | (1) Dipartimento di Matematica, Università degli Studi di Parma, 43100, Via D'Azeglio 85/A, Parma, Italy |
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Abstract: | We study evolution curves of variational type, called minimizing movements, obtainedvia a time discretization and minimization method. We analyze examples in Euclidean spaces, where some classes of minimizing movements are solutions of suitable ordinary differential equations of gradient flow type. Finally, we construct an example to show that in general these evolution curves are not maximal slope curves. Entrata in Redazione il 3 gennaio 1997. |
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Keywords: | 34G20 58D25 |
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