S. Kinoshita

activity

20162024

most citedSubcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher

17 citations · 83 across the 17 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.AP2016

Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in five and more dimensions

Isao Kato, Shinya Kinoshita

We study the Cauchy problem of the Klein-Gordon-Zakharov system in spatial dimension $d \geq 5$ with initial datum $(u, \partial_t u, n, \partial_t n)|_{t=0} \in H^{s+1}(\mathbb{R}^…

math.AP2016

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

Shinya Kinoshita

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…