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- W2951285640 abstract "We study the infinite-energy solutions of the Cahn-Hilliard equation in the whole 3D space in uniformly local phase spaces. In particular, we establish the global existence of solutions for the case of regular potentials of arbitrary polynomial growth and for the case of sufficiently strong singular potentials. For these cases, the uniqueness and further regularity of the obtained solutions are proved as well. We discuss also the analogous problems for the case of the so-called Cahn-Hilliard-Oono equation where, in addition, the dissipativity of the associated solution semigroup is established." @default.
- W2951285640 created "2019-06-27" @default.
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- W2951285640 date "2012-05-07" @default.
- W2951285640 modified "2023-09-24" @default.
- W2951285640 title "Global well-posedness in uniformly local spaces for the Cahn-Hilliard equation in R^3" @default.
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