In this paper the well-posedness of some degenerate parabolic equations with a dynamic boundary condition is considered. To characterize the target degenerate parabolic equation from the Cahn–Hilliard system, the nonlinear term coming from the convex part of the double-well potential is chosen using a suitable maximal monotone graph. The main topic of this paper is the existence problem under an assumption for this maximal monotone graph for treating a wider class. The existence of a weak solution is proved.
CITATION STYLE
Fukao, T. (2016). Cahn–Hilliard approach to some degenerate parabolic equations with dynamic boundary conditions. In IFIP Advances in Information and Communication Technology (Vol. 494, pp. 282–291). Springer New York LLC. https://doi.org/10.1007/978-3-319-55795-3_26
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