60 citations · 155 across the 16 of their papers we have counts for
16 papers
The sharp lifespan of small data smooth solutions to 2-D quadratic quasilinear wave equations in exterior domains
Bingbing Ding, Fei Hou, Huicheng Yin
In the paper [M. Keel, H. Smith, C.D. Sogge, Almost global existence for quasilinear wave equations in three space dimensions. J. Amer. Math. Soc. 17 (2004), no. 1, 109-153], the a…
Long time smooth solutions of 2-D quadratic quasilinear wave equations in exterior domains with Neumann boundary conditions
Fei Hou, Huicheng Yin, Meng Yuan
For the 3-D quadratic quasilinear wave equations in exterior domains with Dirichlet or Neumann boundary conditions, the global existence or the maximal existence time of small data…
Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II
Fei Hou, Huicheng Yin
In the paper [S. Alinhac, The null condition for quasilinear wave equations in two space dimensions I, Invent. Math. 145 (2001), no. 3, 597-618], S. Alinhac established the global…
Global existence for 2-D wave maps equation in exterior domains
Fei Hou, Huicheng Yin, Meng Yuan
In the paper [H. Kubo, Global existence for exterior problems of semilinear wave equations with the null condition in 2D, Evol. Equ. Control Theory 2 (2013), no. 2, 319-335], for t…
Global existence and scattering of small data smooth solutions to quasilinear wave systems on , II
Fei Hou, Fei Tao, Huicheng Yin
In our previous paper [Fei Hou, Fei Tao, Huicheng Yin, Global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on $\mathbb{R}^2\times\…
Global smooth solutions of 2-D quadratic quasilinear wave equations with null conditions in exterior domains
Fei Hou, Huicheng Yin, Meng Yuan
For 3-D quadratic quasilinear wave equations with or without null conditions in exterior domains, when the compatible initial data and Dirichlet boundary values are given, the glob…
Global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on
Fei Hou, Fei Tao, Huicheng Yin
In this paper, we are concerned with the global existence and scattering of small data smooth solutions to a class of quasilinear wave systems on the product space $\mathbb{R}^2\ti…
Almost global solutions of 1D nonlinear Klein-Gordon equations with small weakly decaying initial data
Fei Hou, Fei Tao, Huicheng Yin
It has been known that if the initial data decay sufficiently fast at space infinity, then 1D Klein-Gordon equations with quadratic nonlinearity admit classical solutions up to tim…
The partial null conditions and global smooth solutions of the nonlinear wave equations on with
Fei Hou, Fei Tao, Huicheng Yin
In this paper, we investigate the fully nonlinear wave equations on the product space with quadratic nonlinearities and on $\mathbb{R}^2\times\mathbb…
Long time solutions of quasilinear Klein-Gordon equations with small weakly decaying initial data
Fei Hou, Huicheng Yin
It is well known that for the quasilinear Klein-Gordon equation with quadratic nonlinearity and sufficiently decaying small initial data, there exists a global smooth solution if t…
Delayed singularity formation for the three dimensional compressible Euler equations with non-zero vorticity
Fei Hou, Huicheng Yin
For the 3D compressible isentropic Euler equations with an initial perturbation of size $\ve$ of a rest state, if the initial vorticity is of size $\dl$ with $0<\dl\le \ve$ and $\v…
Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
Fei Hou, Huicheng Yin
For the 2D compressible isentropic Euler equations of polytropic gases with an initial perturbation of size $\ve$ of a rest state, it has been known that if the initial data are ro…
Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
Fei Hou, Huicheng Yin
For 2D compressible isentropic Euler equations of polytropic gases, when the rotationally invariant data are a perturbation of size $\ve>0$ of a rest state, S.~Alinhac in \cite{Ali…
On the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping
Fei Hou, Huicheng Yin
In this paper, we are concerned with the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping \begin{eq…
Remarks on GJMS operator of order six
Xuezhang Chen, Fei Hou
We study analysis aspects of the sixth order GJMS operator . Under conformal normal coordinates around a point, the expansions of Green's function of with pole at th…
On the global existence and blowup of smooth solutions of 3-D compressible Euler equations with time-depending damping
Fei Hou, Ingo Witt, Huicheng Yin
In this paper, we are concerned with the global existence and blowup of smooth solutions of the 3-D compressible Euler equation with time-depending damping $$ \partial_tρ+\operator…