# Global solution to the Allen–Cahn equation with singular potentials and dynamic boundary conditions

@article{Calatroni2012GlobalST,
title={Global solution to the Allen–Cahn equation with singular potentials and dynamic boundary conditions},
author={Luca Calatroni and Pierluigi Colli},
journal={Nonlinear Analysis-theory Methods \& Applications},
year={2012},
volume={79},
pages={12-27}
}
• Published 28 June 2012
• Mathematics
• Nonlinear Analysis-theory Methods & Applications
60 Citations

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We consider a model of nonisothermal phase transitions taking place in a bounded spatial region. The order parameter $\psi$ is governed by an Allen-Cahn type equation which is coupled with the

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• Mathematics, Chemistry
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We consider a solution of the Cahn–Hilliard equation or an associated Caginalp problem with dynamic boundary condition in the case of a general potential and prove that under some conditions on the

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