Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024510 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 22 Pages |
Abstract
This paper is focused on a one-dimensional nonlinear variational wave equation which is the Euler-Lagrange equations of a variational principle arising in the theory of nematic liquid crystals and a few other physical contexts. We establish the global existence of smooth solutions to its degenerate initial-boundary value problem under relaxed conditions on the initial-boundary data. Moreover, we show that the solution is uniformly C1,α continuous up to the degenerate boundary and the degenerate curve is C1,α continuous for αâ(0,12).
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Authors
Yanbo Hu, Guodong Wang,