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 / L. T. T., Bui; Tozza, Silvia. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - STAMPA. - (2014), pp. 543-567.
On the Cahn-Hilliard regularization of a Perona-Malik type equation
TOZZA, SILVIA
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 allegati a questo prodotto
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