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Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions

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  • Our aim in this paper is to prove the existence and uniqueness of solutions to Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [12] (see also [16]) which takes into account strong anisotropy effects. In particular, the free energy contains a regularization term, called Willmore regularization.
    Mathematics Subject Classification: Primary: 35B45; Secondary: 35K55.


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