38 citations · 61 across the 4 of their papers we have counts for
8 papers
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…