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Modified Strichartz estimates with applications to the Cauchy problem for nonlinear Schr?dingier equations
澳门新葡8455最新网站:2016年09月30日 09:04 点击数:

报告人:Takeshi Wada

报告地点:地理楼四楼报告厅

报告澳门新葡8455最新网站:2016年10月09日星期日 8:30-9:00

邀请人:

报告摘要:

    Pecher proved a   modification of Strichartz estimate, which estimates the solution to the Schrödingier equation. As an application,   Pecher considered the following nonlinear Schrödingier equation with power type   nonlinearity:

    (1)

and proved the   well-posedness of (1) in the case where p is close to 1 so that the nonlinear   term is not so smooth. Unfortunately, Pecher's estimate is not   scale-invariant and hence he could not treat the critical case in     with s < n/2, namely when p =   1+4/(n?2s). In this   talk we aim at improving Pecher's estimate to the scale invariant form and   solving (1) in the critical case.

主讲人概况:

Takeshi Wada,日本Shimane University教授。1991年、1994、2001年于Osaka University分别获学士、硕士、博士学位;1994-1997年在Osaka Prefectural College of Technology任讲师,1997-2004年于Osaka University任Research Associate,2004-2014年于Kumamoto University任副教授,2014年至今于Shimane University任教授。主要从事偏微分方程研究,公开发表论文20余篇。

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