日時: 2024年2月12日 (月) 16:00-17:00
場所: 京都教育大学1A402教室 (zoom同時配信)
講演者: 林 仲夫 氏（東北大学）
題目: Schrödinger equation with nonlinear boundary conditions
We consider the Schrödinger equation with nonlinear boundary conditions. We prove a global existence in time of small solutions to nonlinear Neumann boundary problems when the data are in fractional order Sobolev spaces which are related to a scale invariant space. Our result is based on improvements of the results by the Stricharz and Kenig-Ponce-Vega. This is a joint work of Professors C. Li, T. Ogawa and T. Sato.