2016/01/28 by Koh, Youngwoo, Seo, Ihyeok
#Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.1601.07643
Foschi and Vilela in their independent works (\citeF,\citeV) showed that the range of (1/r,1/\widetilder) for which the inhomogeneous Strichartz estimate ‖∫0tei(t-s)ΔF(⋅,s)ds‖LqtLrx \lesssim ‖F‖_L^\widetildeq'tL^\widetilder'x holds for some q,\widetildeq is contained in the closed pentagon with vertices A,B,B',P,P' except the points P,P' (see Figure 1). We obtain the estimate for the corner points P,P'.