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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The Italian authors would like to point out financial support from theMIUR-COFIN 2002 research program on “Free boundary problems in applied sciences”. The second author was supported by GA ČR under Grant No. 201/02/1058, and by GNAMPA of INDAM during his stay at Pavia in May 2003: in this respect, the kind hospitality of the Department of Mathematics in Pavia is gratefully acknowledged as well. The work also benefited from partial support of the IMATI of CNR in Pavia, Italy.
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Colli, P., Krejčí, P., Rocca, E. et al. Nonlinear evolution inclusions arising from phase change models. Czech Math J 57, 1067–1098 (2007). https://doi.org/10.1007/s10587-007-0114-0
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DOI: https://doi.org/10.1007/s10587-007-0114-0