39 citations · 128 across the 9 of their papers we have counts for
10 papers
Blow-up of damped semilinear wave equation with short range potential and critical power nonlinearity
Ikeda Masahiro, Tu Ziheng, Wang Chengbo
The present paper is devoted to the study of a semilinear wave equation with spatially dependent scattering damping and a short-range potential, with particular focus on determinin…
Lifespan estimates for semilinear wave equations with space dependent damping and potential
Ning-An Lai, Mengyun Liu, Ziheng Tu +1
In this work, we investigate the influence of general damping and potential terms on the blow-up and lifespan estimates for energy solutions to power-type semilinear wave equations…
Small data blow-up for the weakly coupled system of the generalized Tricomi equations with multiple propagation speeds
Masahiro Ikeda, Jiayun Lin, Ziheng Tu
In the present paper, we study the Cauchy problem for the weakly coupled system of the generalized Tricomi equations with multiple propagation speeds. Our aim of this paper is to p…
Strauss exponent for semilinear wave equations with scattering space dependent damping
Ning-An Lai, Ziheng Tu
It is believed or conjectured that the semilinear wave equations with scattering space dependent damping admit the Strauss critical exponent, see Ikehata-Todorova-Yordanov \cite{IT…
A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type
Alessandro Palmieri, Ziheng Tu
In this note, we prove blow-up results for semilinear wave models with damping and mass in the scale-invariant case and with nonlinear terms of derivative type. We consider the sin…
Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass
Masahiro Ikeda, Ziheng Tu, Kyouhei Wakasa
In the present paper, we study small data blow-up of the semi-linear wave equation with a scattering dissipation term and a time-dependent mass term from the aspect of wave-like be…
Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity
Alessandro Palmieri, Ziheng Tu
In this paper, we study the blow-up of solutions for semilinear wave equations with scale-invariant dissipation and mass in the case in which the model is somehow 'wave-like'. A St…
Life-Span of Semilinear Wave Equations with Scale-invariant Damping: Critical Strauss Exponent Case
Ziheng Tu, Jiayun Lin
The blow up problem of the semilinear scale-invariant damping wave equation with critical Strauss type exponent is investigated. The life span is shown to be: $T(\varepsilon)\leq C…
A note on the blowup of scale invariant damping wave equation with sub-Strauss exponent
Ziheng Tu, Jiayun Lin
We concern the blow up problem to the scale invariant damping wave equations with sub-Strauss exponent. This problem has been studied by Lai, Takamura and Wakasa (\cite{Lai17}) and…
Well-posedness for the Cauchy problem of spatially weighted dissipative equation
Ziheng Tu, Xiaojun Lu
This paper mainly investigates the Cauchy problem of the spatially weighted dissipative equation with initial data in the weighted Lebesgue space. A generalized Hankel Transform is…