The Global Lipschitz Solution for a Peeling Model

摘要

This paper focusses on a peeling phenomenon governed by a nonlinear wave equation with a free boundary. Under the hypotheses that the total variation of the intial data and the boundary data are small, the global existence of a weak solution to the nonlinear problem (1.1)-(1.3) is proven by a modified Glimm scheme. The regularity of the peeling front is established, and the asymptotic behaviour of the obtained solution and the peeling front at infinity is also studied.

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