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arXiv · 1304.6640

Sharp local well-posedness of KdV type equations with dissipative perturbations

Xavier Carvajal·Mahendra Panthee
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Abstract

In this work, we study the initial value problems associated to some linear perturbations of KdV equations. Our focus is in the well-posedness issues for initial data given in the $L^2$-based Sobolev spaces. We derive bilinear estimate in a space with weight in the time variable and obtain sharp local well-posedness results.

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Xavier Carvajal, Mahendra Panthee. 2013-04-24. Sharp local well-posedness of KdV type equations with dissipative perturbations. https://arxiv.org/abs/1304.6640

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