Low regularity semilinear wave equations pdf

Nov 22, 2012 - in spaces of lower regularity than that suggested by the energy space ?H1 ? L2 x. We consider the initial value problem (IVP) for the semilinear wave equation. PDF | For any subcritical index of regularity $s>3/2$, we prove the almost global Global existence for some 4-D quasilinear wave equations with low regularity. semilinear wave equations. of Strichartz [26] on estimates for the linear wave equation on Rn plays a of the proof that small energy implies regularity [18]. We prove local well-posedness results for the semi-linear wave equation for data in $H^gamma$, $0 < gamma < rac{n-3}{2(n-1)}$, extending the previously Jan 29, 2018 -Jul 31, 2007 - Mar 24, 2000 - May 18, 2010 - Sep 19, 1997 -