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Blow-up of the solutions of the initial boundary value problem of Camassa-Holm equation

Research paper by Zhu Xu-sheng, Wang Wei-ke

Indexed on: 01 Nov '05Published on: 01 Nov '05Published in: Wuhan University Journal of Natural Sciences



Abstract

Any classical non-null solution to the initial boundary value problem of Camassa-Holm equation on finite interval with homogeneous boundary condition must blow up in finite time. An initial boundary value problem of Camassa-Holm equation on half axis is also investigated in this paper. When the initial potential is nonnegative, then the classical solution exists globally; if the derivative of initial data on zero point is nonpositire, then the life span of nonzero solution must be finite.