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 2019 · math.APShow all

4 papers · 2 filters

math.AP2019

Long time behaviour of finite-energy radial solutions to energy subcritical wave equation in higher dimensions

Ruipeng Shen

We consider the defocusing, energy subcritical wave equation $\partial_{t}^{2} u - Δ u = - ∣ u ∣^{p - 1} u$ in 4 to 6 dimensional spaces with radial initial data. We define $w = r^{(d - 1) /2} u$ …

math.AP2019★ 5 cited

Inward/outward Energy Theory of Wave Equation in Higher Dimensions

Ruipeng Shen

We consider the semi-linear, defocusing wave equation $\partial_{t}^{2} u - Δ u = - ∣ u ∣^{p - 1} u$ in $R^{d}$ with $1 + 4/ (d - 1) \leq p < 1 + 4/ (d - 2)$ . We generalize the inward/outward en…

math.AP2019★ 2 cited

Inward/outward Energy Theory of Non-radial Solutions to 3D Semi-linear Wave Equation

Ruipeng Shen

The topic of this paper is 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 $3 \leq p < 5$ . We gener…

math.AP2019★ 4 cited

Scattering of solutions to NLW by Inward Energy Decay

Ruipeng Shen

The topic of this paper is a semi-linear, energy sub-critical, defocusing wave equation $\partial_{t}^{2} u - Δ u = - ∣ u ∣^{p - 1} u$ in the 3-dimensional space ( $3 \leq p < 5$ ) whose initia…