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 2020Show all

4 papers · 1 filter

math.AP2020

Exterior scattering of non-radial solutions to energy subcritical wave equations

Ruipeng Shen

We consider the defocusing, energy subcritical wave equation $\partial_{t}^{2} u - Δ u = - ∣ u ∣^{p - 1} u$ in dimension $d \in {3, 4, 5}$ and prove the exterior scattering of solutions if $…

math.AP2020

Asymptotic energy distribution of one-dimensional nonlinear wave equation

Ruipeng Shen

In this work we consider the defocusing nonlinear wave equation in one-dimensional space. We show that almost all energy is located near the light cone $∣ x ∣ = ∣ t ∣$ as time tends to i…

math.AP2020

Weakly non-radiative radial solutions to 3D energy subcritical wave equations

Ruipeng Shen

In this work we consider the energy subcritical 3D wave equation $\partial_{t}^{2} u - Δ u = \pm ∣ u ∣^{p - 1} u$ and discuss its (weakly) non-radiative solutions, i.e. the solutions define…

math.AP2020★ 2 cited

Scattering theory for subcritical wave equation with inverse square potential

Changxing Miao, Ruipeng Shen, Tengfei Zhao

We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux method we establish energy flu…