32 citations · 70 across the 30 of their papers we have counts for
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math.AP2014★ 2 cited
Energy-critical semi-linear shifted wave equation on the hyperbolic spaces
Ruipeng Shen
In this paper we consider a semi-linear, energy-critical, shifted wave equation on the hyperbolic space with : \[ \partial_t^2 u - (Δ_{{\mathbb H}^…
math.AP2014★ 1 cited
A Semi-linear Shifted Wave Equation on the Hyperbolic Spaces with Application on a Quintic Wave Equation on
Ruipeng Shen, Gigliola Staffilani
In this paper we consider a semi-linear, defocusing, shifted wave equation on the hyperbolic space \[ \partial_t^2 u - (Δ_{{\mathbb H}^n} + ρ^2) u = - |u|^{p-1} u, \quad (x,t)\in {…