Ruipeng Shen

activity

20112023

most citedOn the Energy Subcritical, Non-linear Wave Equation with Radial Data for

p \in (3, 5)

32 citations · 70 across the 30 of their papers we have counts for

collaborators

Showing 2015 · math.APShow all

3 papers · 2 filters

math.AP2015★ 2 cited

Scattering of solutions to the defocusing energy sub-critical semi-linear wave equation in 3D

Ruipeng Shen

In this paper we consider a semi-linear, energy sub-critical, defocusing wave equation $\partial_{t}^{2} u - Δ u = - ∣ u ∣^{p - 1} u$ in the 3-dimensional space with $p \in [3, 5)$ . We prov…

math.AP2015

Bounded Solutions to an Energy Subcritical Non-linear Wave Equation on R^3

Ruipeng Shen

In this work we consider an energy subcritical semi-linear wave equation ( $3 < p < 5$ ) \[ \partial_t^2 u - Δu = ϕ(x) |u|^{p-1} u, \qquad (x,t) \in {\mathbb R}^3 \times {\mathbb R}…

math.AP2015★ 1 cited

A Semi-linear Energy Critical Wave Equation With Applications

Ruipeng Shen

In this work we consider a semi-linear energy critical wave equation in $R^{d}$ ( $3 \leq d \leq 5$ ) \[ \partial_t^2 u - Δu = \pm ϕ(x) |u|^{4/(d-2)} u, \qquad (x,t)\in {\math…