WIAS Preprint No. 2062, (2015)

On a nonlocal Cahn--Hilliard equation with a reaction term



Authors

  • Melchionna, Stefano
  • Rocca, Elisabetta

2010 Mathematics Subject Classification

  • 34B10 35K57 35D35

Keywords

  • nonlocal Cahn-Hilliard, reaction terms, global-in-time existence, uniqurness, regularity, separation properties

DOI

10.20347/WIAS.PREPRINT.2062

Abstract

We prove existence, uniqueness, regularity and separation properties for a nonlocal Cahn- Hilliard equation with a reaction term. We deal here with the case of logarithmic potential and degenerate mobility as well an uniformly lipschitz in u reaction term g(x, t, u).

Appeared in

  • Adv. Math. Sci. Appl., 24 (2014) pp. 461--497.

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