Geodesic
Evolution Problems and Minimizing Movements
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 4, pp. 289-296

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We recall the definition of Minimizing Movements, suggested by E. De Giorgi, and we consider some applications to evolution problems. With regards to ordinary differential equations, we prove in particular a generalization of maximal slope curves theory to arbitrary metric spaces. On the other hand we present a unifying framework in which some recent conjectures about partial differential equations can be treated and solved. At the end we consider some open problems. 
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     author = {Gianazza, Ugo and Gobbino, Massimo and Savar\`e, Giuseppe},
     title = {Evolution {Problems} and {Minimizing} {Movements}},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {289--296},
     publisher = {mathdoc},
     volume = {Ser. 9, 5},
     number = {4},
     year = {1994},
     zbl = {0835.49021},
     mrnumber = {MR1320580},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1994_9_5_4_a1/}
}
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Gianazza, Ugo; Gobbino, Massimo; Savarè, Giuseppe. Evolution Problems and Minimizing Movements. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 4, pp. 289-296. http://geodesic.mathdoc.fr/item/RLIN_1994_9_5_4_a1/