Global solutions and stability properties of the 5th order Gardner equation

14 Jan 2019 Alejo Miguel A. Kwak Chulkwang

In this work, we deal with the initial value problem of the 5th-order Gardner equation in $\mathbb{R}$, presenting the local well-posedness result in $H^2(\mathbb{R})$. As a consequence of the local result, in addition to $H^2$-energy conservation law, we are able to prove the global well-posedness result in $H^2(\mathbb{R})$... (read more)

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