具有二次和三次非线性的卡马萨-霍姆型方程在加权$L^p$$$空间中的破波和持久特性

Monatshefte für Mathematik Pub Date : 2024-01-25 DOI:10.1007/s00605-023-01938-8

Wenguang Cheng, Ji Lin

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引用次数: 0

摘要

我们考虑了具有二次方和三次方非线性的卡马萨-霍姆型方程的考奇问题。我们在初始数据上建立了一个新的充分条件，该条件导致了该方程的破波。此外，我们还得到了该方程在加权（L^p\）空间中的解的持久性结果。

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Wave-breaking and persistence properties in weighted $$L^p$$ spaces for a Camassa–Holm type equation with quadratic and cubic nonlinearities

We consider the Cauchy problem of a Camassa–Holm type equation with quadratic and cubic nonlinearities. We establish a new sufficient condition on the initial data that leads to the wave-breaking for this equation. Moreover, we obtain the persistence results of solutions for the equation in weighted $L^p$ spaces.

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Monatshefte für Mathematik

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