Eventイベント

数学科・専攻

第14回調和解析中央大セミナー

日程
2018年12月15日(土)13:30~17:00
場所
後楽園キャンパス 6号館11階61125教室
日程
2018年12月15日(土)13:30~17:00
場所
後楽園キャンパス 6号館11階61125教室
内容

時間:13:30~15:00

講演者 (所属): 眞崎 聡 氏 (大阪大学)
題目: Modified scattering for quadratic Klein-Gordon equation in two dimensions
概要: In this talk, we consider large time behavior of complex-valued solutions to the Klein-Gordon equation with a gauge invariant quadratic nonlinearity in two space dimensions. We prove a modified scattering type result. Namely, we show the existence of a solution which behaves like a free solution with a logarithmic phase correction. A crucial step to find the correction factor is to extract of a resonant part from a non-polynomial nonliearity. We exploit Fourier series expansion for this extraction step. This talk is based on a joint work with J. Segata (Tohoku univ.) and K. Uriya (Okayama univ. of Science).

 

時間:15:30~17:00

講演者 (所属): Mieczysław Mastyło 氏 (Adam Mickiewicz University)
題目: Fredholmness property on interpolation spaces
概要: We will discuss the stability of isomorphisms and Fredholm operators on Banach spaces generated by interpolation methods which includes the real and complex methods. We will show the existence of solution of certain operator analytic equation. A by-product of our results is that interpolated isomorphisms satisfy uniqueness-of-inverses. The talk is based on the joint works with Iirna Asekritova and Natan Kruglyak.