4 citations · 5 across the 6 of their papers we have counts for
6 papers
Hyperbolic problems with totally characteristic boundary
Zhuoping Ruan, Ingo Witt
We study first-order symmetrizable hyperbolic systems in a spacetime cylinder whose lateral boundary is totally characteristic. In local coordinates near the boundary a…
A scheme for solving hyperbolic problems with symbolic structure
Zhuoping Ruan, Ingo Witt
Hyperbolic problems can at times be solved employing symbolic arguments. This is especially true for the construction of forward (and backward) fundamental solutions. We formulate…
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 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…
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…
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…