WIAS Preprint No. 2062, (2015)
On a nonlocal Cahn--Hilliard equation with a reaction term
Authors
- Melchionna, Stefano
- Rocca, Elisabetta
ORCID: 0000-0002-9930-907X
2010 Mathematics Subject Classification
- 34B10 35K57 35D35
Keywords
- nonlocal Cahn-Hilliard, reaction terms, global-in-time existence, uniqurness, regularity, separation properties
DOI
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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