Equations with maximal monotone nonlinearities

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Abstract

We shall study here Eq. (1.1) for general (multivalued) maximal monotone graphs β: ℝ → 2ℝ with polynomial growth. The principal motivation for the study of these equations comes from nonlinear diffusion models presented in Sect. 1.1.

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Barbu, V., Da Prato, G., & Rãckner, M. (2016). Equations with maximal monotone nonlinearities. In Lecture Notes in Mathematics (Vol. 2163, pp. 49–93). Springer Verlag. https://doi.org/10.1007/978-3-319-41069-2_3

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