57 citations · 82 across the 17 of their papers we have counts for
17 papers
On semilinear Tricomi equations in one space dimension
Daoyin He, Ingo Witt, Huicheng Yin
For 1-D semilinear Tricomi equation with initial data , where , , $p>…
On semilinear Tricomi equations with critical exponents or in two space dimensions
Daoyin He, Ingo Witt, Huicheng Yin
This paper is a complement of our recent works on the semilinear Tricomi equations in [8] and[9].
On the global solution problem of semilinear generalized Tricomi equations, II
Daoyin He, Ingo Witt, Huicheng Yin
This paper is a continuation of our recent work in [9].
Minimal regularity solutions of semilinear generalized Tricomi equations
Zhuoping Ruan, Ingo Witt, Huicheng Yin
We prove the local existence and uniqueness of minimal regularity solutions of the semilinear generalized Tricomi equation with initial data $(u(0…
On the global solution problem for semilinear generalized Tricomi equations, I
Daoyin He, Ingo Witt, Huicheng Yin
In this paper, we are concerned with the global Cauchy problem for the semilinear generalized Tricomi equation with initial data $(u(0,\cdot), \partia…
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…
On the existence of low regularity solutions to semilinear generalized Tricomi equations in mixed type domains
Zhuoping Ruan, Ingo Witt, Huicheng Yin
In [19-20], we have established the existence and singularity structures of low regularity solutions to the semilinear generalized Tricomi equations in the degenerate hyperbolic re…
Global multidimensional shock waves for 2-D and 3-D unsteady potential flow equations
Jun Li, Ingo Witt, Huicheng Yin
Although local existence of multidimensional shock waves has been established in some fundamental references, there are few results on the global existence of those waves except th…
The existence and singularity structure of low regularity solutions of higher-order degenerate hyperbolic equations
Zhuoping Ruan, Ingo Witt, Huicheng Yin
This paper is a continuation of our previous work [21], where we have established that, for the second-order degenerate hyperbolic equation (\p_t^2-t^mΔ_x)u=f(t,x,u), locally bound…
Blowup of smooth solutions for general 2-D quasilinear wave equations with small initial data
Bingbing Ding, Ingo Witt, Huicheng Yin
For the 2-D quasilinear wave equation with coefficients independent of the solution , a blowup result for small da…
Blowup of classical solutions for a class of 3-D quasilinear wave equations with small initial data
Bingbing Ding, Ingo Witt, Huicheng Yin
This paper is concerned with the small smooth data problem for the 3-D nonlinear wave equation $\partial_t^2u-\left (1+u+\p_t u\right)Δu=0$. This equation is prototypical of the mo…
On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data
Zhuoping Ruan, Ingo Witt, Huicheng Yin
In this paper, we are concerned with the local existence and singularity structure of low regularity solutions to the semilinear generalized Tricomi equation $\p_t^2u-t^mΔu=f(t,x,u…
On the lifespan of and the blowup mechanism for smooth solutions to a class of 2-D nonlinear wave equations with small initial data
Bingbing Ding, Ingo Witt, Huicheng Yin
This paper is concerned with the lifespan and the blowup mechanism for smooth solutions to the 2-D nonlinear wave equation $\p_t^2u-\ds\sum_{i=1}^2\p_i(c_i^2(u)\p_iu)$ , where…
Stability of cigar soliton
Li Ma, I. Witt
In this paper, we shall use the Kähler geometry formulation to study the global behavior of the Ricci flow on . The geometric feature of our Ricci flow is that it has finite w…
On the blowup and lifespan of smooth solutions to a class of 2-D nonlinear wave equations with small initial data
Jun Li, Ingo Witt, Huicheng Yin
We are concerned with a class of two-dimensional nonlinear wave equations $\p_t^2u-÷(c^2(u)\na u)=0$ or $\p_t^2u-c(u)÷(c(u)\na u)=0$ with small initial data $(u(0,x),\p_tu(0,x))=(\…
Green's formulas for cone differential operators
Ingo Witt
Green's formulas for elliptic cone differential operators are established. This is done by an accurate description of the maximal domain of an elliptic cone differential operator a…
Energy estimates for weakly hyperbolic systems of the first order
Michael Dreher, Ingo Witt
For a class of weakly hyperbolic systems of the form D_t - A(t,x,D_x), where A(t,x,D_x) is a first-order pseudodifferential operator whose principal symbol degenerates like t^{l_*}…