| Volume 3, Number 3, 2013, Pages 265-277 DOI：10.11948/2013019 |
| Existence Of Solutions For A One-Dimensional Allen-Cahn Equation |
| Alain Miranville |
| Keywords:Allen-Cahn equation |
| Abstract: |
| Our aim in this paper is to prove the existence and uniqueness of solutionsfor a one-dimensional Allen-Cahn type equation based on a modication of the Ginzburg-Landau free energy proposed in [9]. In particular, the free energy contains an additionalterm called Willmore regularization and takes into account anisotropy eects. |
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