Existence and approximation results for gradient flows
Riccarda Rossi, Giuseppe Savaré (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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This note addresses the Cauchy problem for the gradient flow equation in a Hilbert space where is a proper, lower semicontinuous functional which is not supposed to be a (smooth perturbation of a) convex functional and is (a suitable limiting version of) its subdifferential. The interest for this kind of equations is motivated by a number of examples, which show that several mathematical models describing phase transitions phenomena and leading to systems of evolutionary...