41 citations · 124 across the 6 of their papers we have counts for
6 papers
Observation estimates for a semilinear heat equation in \mathbb{R}^n
Guojie Zheng, Xin Yu
This paper studies the state observation problems for the semilinear heat equation in R^n. We derive observation estimates for the equation using the logarithmic convexity property…
Global existence of null-form wave equations on small asymptotically Euclidean manifolds
Chengbo Wang, Xin Yu
We prove the global existence of the small solutions to the Cauchy problem for quasilinear wave equations satisfying the null condition on , where the metric is a sma…
Recent works on the Strauss conjecture
Chengbo Wang, Xin Yu
In this review paper, we summarize the current state-of-art on the Strauss conjecture with nontrapping obstacles. Among others, three essential estimates are emphasized and present…
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…
Generalized Strichartz Estimates on Perturbed Wave Equation and Applications on Strauss Conjecture
Xin Yu
In this paper we show a general Strichartz estimate for certain perturbed wave equation, and here we can drop the nontrapping hypothesis and handle trapping obstacles with some los…