18 citations · 74 across the 34 of their papers we have counts for
5 papers · 1 filter
Energy decay rates of solutions to a viscoelastic wave equation with variable exponents and weak damping
Menglan Liao, Bin Guo, Xiangyu Zhu
The goal of the present paper is to study the asymptotic behavior of solutions for the viscoelastic wave equation with variable exponents \[ u_{tt}-Δu+\int_0^tg(t-s)Δu(s)ds+a|u_t|^…
Classification of blow-up and global existence of solutions to an initial problem
Bin Guo, Jingjing Zhang, Menglan Liao
The aim of this paper is to apply the modified potential well method and some new differential inequalities to study the asymptotic behavior of solutions to the initial homogeneous…
On the degeneration of asymptotically conical Calabi-Yau metrics
Tristan C. Collins, Bin Guo, Freid Tong
We study the degenerations of asymptotically conical Ricci-flat Kähler metrics as the Kähler class degenerates to a semi-positive class. We show that under appropriate assumptions,…
On the Kahler-Ricci flow on Fano manifolds
Bin Guo, Duong H. Phong, Jacob Sturm
A short proof of the convergence of the Kahler-Ricci flow on Fano manifolds admitting a Kahler-Einstein metric or a Kahler-Ricci soliton is given, using a variety of recent techniq…
Kahler-Einstein Metrics and Eigenvalue Gaps
Bin Guo, Duong H. Phong, Jacob Sturm
The existence of Kahler-Einstein metrics on a Fano manifold is characterized in terms of a uniform gap between 0 and the first positive eigenvalue of the Cauchy-Riemann operator on…