Pierluigi Colli, Dipartimento di Matematica, Universita di Pavia, Via Ferrata 1, 27100 Pavia, Italy, e-mail: pierluigi.colli@unipv.it; Pavel Krejci, Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany, and Institute of Mathematics of the Academy of Sciences of the Czech Republic, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: krejci@wias-berlin.de, krejci@math.cas.cz; Elisabetta Rocca, Dipartimento di Matematica, Universita di Milano, Via Saldini 50, 20133 Milano, Italy, e-mail: Elisabetta.Rocca@mat.unimi.it; Jurgen Sprekels, Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany, e-mail: sprekels@wias-berlin.de
Abstract: The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.
Keywords: nonlinear and nonlocal evolution equations, Cahn-Hilliard type dynamics, phase transitions models, existence, uniqueness, long-time behaviour
Classification (MSC 2000): 35G25, 47J35, 82B26, 74H40
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