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arxiv: 1501.01541 · v1 · pith:JNE3DMEMnew · submitted 2015-01-07 · 🧮 math.AP

On a nonlocal Cahn-Hilliard equation with a reaction term

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keywords reactiontermcahn-hilliardequationnonlocalcasedealdegenerate
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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 $g(x,t,u).$

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