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arXiv · 1612.04241

Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in 2D

Shinya Kinoshita
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Abstract

This paper is concerned with the Cauchy problem of $2$D Klein-Gordon-Zakharov system with very low regularity initial data. We prove the bilinear estimates which are crucial to get the local in time well-posedness. The estimates are established by the Fourier restriction norm method. We utilize the bilinear Strichartz estimates and the nonlinear version of the classical Loomis-Whitney inequality which was applied to Zakharov system.

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Shinya Kinoshita. 2016-12-09. Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in 2D. https://arxiv.org/abs/1612.04241

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