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Author Chae, Myeongju ♦ Kwon, Soonsik
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-06-09
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Analysis of PDEs ♦ 35Q55 ♦ math
Abstract We consider the initial value problem for the L^2-critical defocusing Hartree equation in R^n, n \ge 3. We show that the problem is globally well posed in H^s(R^n) when 1>s> \frac{2(n-2)}{3n-4}$. We use the "I-method" combined with a local in time Morawetz estimate for the smoothed out solution.
Educational Use Research
Learning Resource Type Article


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