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.
Nonlinear evolution inclusions arising from phase change models / P. Colli, P. Krejcí, E. Rocca, J. Sprekels. - In: CZECHOSLOVAK MATHEMATICAL JOURNAL. - ISSN 0011-4642. - 57:4(2007), pp. 1067-1098.
Nonlinear evolution inclusions arising from phase change models
E. RoccaPenultimo
;
2007
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.
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