Article ID Journal Published Year Pages File Type
5024510 Nonlinear Analysis: Theory, Methods & Applications 2017 22 Pages PDF
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 α∈(0,12).
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
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