セミナー

理研AIPセミナー

タイトル	Well-posedness and parabolic smoothing effect for higher order linear Schrödinger type equations on the torus
開催日時	2020年1月8日 13:30 - 14:30 + 30 min
主催者
講演者	Tomoyuki Tanaka 氏
場所	Keio University, Yagami-campus, Bldg.14th, Room 631 A/B
内容	We establish the energy estimate for higher order linear Schrödinger type equations on the torus. The proof is based on the energy method with correction terms, but some derivative losses cannot be recovered and they may have an affect on the well-posedness. As a corollary, we can classify the Cauchy problem into three types: dispersive type, parabolic type and ill-posed type. This talk is based on the joint work with Professor Kotaro Tsugawa (Chuo univ.).
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