演講者:Daisuke Kawagoe (Kyoto University)
講 題:$W^{1, p}$ estimate for the stationary transport equation
時 間:2019年6月3日 (星期一) 14:00-15:00
地 點:臺灣大學天數館
202 室摘 要:We consider a boundary value problem of the stationary transport equation in a two
dimensional bounded convex domain with the incoming boundary condition. In this talk, we give a $W^{1, p}$ estimate of the solution for $1 \leq p < p_m$, where $p_m$ is a real number depending only on the shape of the domain. Moreover, we show two examples which imply that this estimate is optimal in some cases.NTU Applied Mathematics Colloquium
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