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Nonlinear evolution inclusions arising from phase change models

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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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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100, Pavia, Italy

    Pierluigi Colli

  2. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117, Berlin, Germany

    Pavel Krejčí & Jürgen Sprekels

  3. Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Pavel Krejčí

  4. Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133, Milano, Italy

    Elisabetta Rocca

Authors
  1. Pierluigi Colli
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  2. Pavel Krejčí
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  3. Elisabetta Rocca
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  4. Jürgen Sprekels
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Corresponding author

Correspondence to Pierluigi Colli.

Additional information

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

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