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arXiv · 2008.13280

Local well-posedness and global analyticity for solutions of a generalized 0-equation

Priscila Leal da Silva
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Abstract

In this work we study the Cauchy problem in Gevrey spaces for a generalized class of equations that contains the case $b=0$ of the $b$-equation. For the generalized equation, we prove that it is locally well-posed for initial data in Gevrey spaces. Moreover, as we move to global well-posedness, we show that for a particular choice of the parameter in the equation the local solution is global analytic in both time and spatial variables.

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Priscila Leal da Silva. 2020-08-30. Local well-posedness and global analyticity for solutions of a generalized 0-equation. https://arxiv.org/abs/2008.13280

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