97 citations · 621 across the 41 of their papers we have counts for
5 papers · 2 filters
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
Hart F. Smith, Christopher D. Sogge, Chengbo Wang
We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension is two. As pointed out in \cite{HMSSZ} this case is more subtle than or 4 due to…
Concerning the Strauss conjecture on asymptotically Euclidean manifolds
Chengbo Wang, Xin Yu
In this paper we verify the Strauss conjecture for semilinear wave equations on asymptotically Euclidean manifolds when n=3,4, we also give an almost sharp life span for the subcri…
Generalized and weighted Strichartz estimates
Jin-Cheng Jiang, Chengbo Wang, Xin Yu
In this paper, we explore the relations between different kinds of Strichartz estimates and give new estimates in Euclidean space . In particular, we prove the genera…
Almost global existence for some semilinear wave equations with almost critical regularity
Daoyuan Fang, Chengbo Wang
For any subcritical index of regularity , we prove the almost global well posedness for the 2-dimensional semilinear wave equation with the cubic nonlinearity in the derivat…
On almost global existence and local well-posedness for some 3-D quasi-linear wave equations
Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama
We study the Cauchy problem for a quasilinear wave equation with low-regularity data. A space-time estimate for the variable coefficient wave equation plays a central role fo…