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arXiv · 1012.4904

On the Cauchy problem of a two-component b-family equation

Jingjing Liu·Zhaoyang Yin
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Abstract

In this paper, we study the Cauchy problem of a two-component b-family equation. We first establish the local well-posedness for a two-component b-family equation by Kato's semigroup theory. Then, we derive precise blow-up scenarios for strong solutions to the equation. Moreover, we present several blow-up results for strong solutions to the equation.

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Jingjing Liu, Zhaoyang Yin. 2010-12-22. On the Cauchy problem of a two-component b-family equation. https://arxiv.org/abs/1012.4904

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