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arXiv · 1305.0511

A note on local well-posedness of generalized KdV type equations with dissipative perturbations

Xavier Carvajal·Mahendra Panthee
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Abstract

In this note we report local well-posedness results for the Cauchy problems associated to generalized KdV type equations with dissipative perturbation for given data in the low regularity $L^2$-based Sobolev spaces. The method of proof is based on the {\em contraction mapping principle} employed in some appropriate time weighted spaces.

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Xavier Carvajal, Mahendra Panthee. 2013-05-02. A note on local well-posedness of generalized KdV type equations with dissipative perturbations. https://arxiv.org/abs/1305.0511

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