On a nonlocal Cahn-Hilliard equation with a reaction term

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 $g(x,t,u).$

References in corpus (1)

• A generalized Cahn-Hilliard equation for biological applications

Cited by in corpus (2)

• On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities
• Convergence of solutions for the fractional Cahn-Hilliard system