We study existence, uniqueness and long-time behaviour of global solutions of the Cahn-Hilliard equation with nonlinearity growing at most linearly at infinity. Motivation for the study comes from the fourth-order regularization of a forward-backward parabolic equation with nonlinearity of Perona-Malik type.
On the Cahn-Hilliard regularization of a Perona-Malik type equation / Trong Thanh, B. L.; Tozza, S.. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - 24:2(2014), pp. 543-567.
On the Cahn-Hilliard regularization of a Perona-Malik type equation
S. TOZZA
2014
Abstract
We study existence, uniqueness and long-time behaviour of global solutions of the Cahn-Hilliard equation with nonlinearity growing at most linearly at infinity. Motivation for the study comes from the fourth-order regularization of a forward-backward parabolic equation with nonlinearity of Perona-Malik type.File in questo prodotto:
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