270 citations · 607 across the 42 of their papers we have counts for
42 papers
Global Existence of classical solutions to 3D nonlinear Klein-Gordon equations with low-regularity initial data
Wei Xu, Yi Zhou
This paper studies global existence for the Cauchy problem of nonlinear Klein-Gordon equations in three space dimensions, strictly within the regularity regime of classical local e…
1+2 dimensional radially symmetric wave maps revisit
Yi Zhou
The author gives an alternative and simple proof of the global existence of smooth solutions to the Cauchy problem for wave maps from the 1+2-dimensional Minkowski space to an arbi…
Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime
Ning-An Lai, Yi Zhou
We study the semilinear wave equation with power type nonlinearity and small initial data in Schwarzschild spacetime. If the nonlinear exponent satisfies , we…
Global well-posedness for radial extremal hypersurface equation in -dimensional Minkowski space-time in critical Sobolev space
Sheng Wang, Yi Zhou
In this article, we prove the global well-posedness in the critical Sobolev space for the radial tim…
Null controllability of damped nonlinear wave equation
Yan Cui, Peng Lu, Yi Zhou
In this paper, we investigate the null controllability of nonlinear wave systems. Initially, we employ a combination of the Galerkin method and a fixed point theorem to establish t…
Generalized persistence of entropy weak solutions for system of hyperbolic conservation laws
Yi Zhou
Let be the solution to the Cauchy problem of a scalar conservation law in one space dimension. It is well known that even for smooth initial data the solution can become d…