偏微分方程式セミナー: Blow-up for Strauss type wave equation with damping and potential, Wei Dai 氏

開催日時

2019年10月18日 16時 30分 ～ 2019年10月18日 17時 30分

場所

北海道大学理学部3号館3-309室

講演者

Wei Dai 氏 (北海道大学)

We study a kind of nonlinear wave equations with damping and potential, whose coefficients are both critical in the sense of the scaling and depend only on the spatial variables. Based on the earlier works, one may think a conjecture that the damping leads to a shift of the critical exponent of the nonlinear term, while the potential does not. We obtain a blow-up result which supports the conjecture, although the existence part is still open. What’s more, we give an upper bound of lifespan when the exponent of the nonlinear term is supposed to be critical or sub-critical.

世話人：黒田 紘敏、浜向 直