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Radially symmetric steady states of the Cahn-Hilliard equation. (English) Zbl 1135.34019

The radially symmetric steady states of the Cahn-Hilliard equation are studied. The problem is reduced to initial and boundary value problems for a second-order singular differential equation on the half-line for which existence and uniqueness of solutions are obtained.

MSC:

34B40 Boundary value problems on infinite intervals for ordinary differential equations
35K55 Nonlinear parabolic equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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