偏微分方程式セミナー(2016/5/20): Global dynamics above the ground state energy for the combined power-type nonlinear Schr\”{o}dinger equations with energy-critical growth at low frequencies, 菊池 弘明 氏 (津田塾大学)

開催日時
2016年   5月 20日 16時 30分 ~ 2016年   5月 20日 18時 00分
場所
北海道大学理学部3号館3-309室
講演者
菊池 弘明 氏 (津田塾大学)
 
In this talk, we consider the nonlinear Schr\"{o}dinger equations with combined power-type nonlinearity which includes the energy-critical growth. Our aim is to classify the asymptotic behavior of the solutions. First, we review several results concerning the classification of the solutions whose energy is less than that of the ground state. Next, we consider the solutions which have a slightly greater than that of the ground state. In this case, we obtain a so-called nine-set theory developed by Nakanishi and Schlag (2012). This talk is based on a joint work with T. Akahori(Shizuoka), S. Ibrahim(Victoria) and H. Nawa (Meiji).

関連項目

研究集会・セミナー・集中講義の一覧へ