偏微分方程式セミナー: Critical exponent for nonlinear damped wave equations with non-negative potential in 3D, 久保 英夫 氏

開催日時

2019年4月26日 16時30分 ～ 2019年4月26日 17時30分

場所

北海道大学理学部3号館3-309室

講演者

久保 英夫 氏 (北海道大学)

In this talk, I’d like to present a result on the initial value problem for nonlinear damped wave equations with non-negative potential in three space dimensions which was obtained in collaboration with Professor V. Georgiev and Professor K. Wakasa. We found that there exists possible interaction among the sub-principal part of the linear wave equation which has an impact on the critical exponent of the corresponding nonlinear problem with small initial data. The main new phenomenon is that certain relation among the sub-principal part may cause very strong jump of the critical Strauss exponent in 3D to the critical Strauss exponent in 5D for the standard wave equation. In this work, we introduced a weaker weight for the solution employed in the case of the standard wave equation, which enable us to treat the damped wave equations with non-negative potential.

世話人：黒田 紘敏、浜向 直