32 citations · 70 across the 30 of their papers we have counts for
4 papers · 1 filter
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 in the 3-dimensional space with . We prov…
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 () \[ \partial_t^2 u - Δu = ϕ(x) |u|^{p-1} u, \qquad (x,t) \in {\mathbb R}^3 \times {\mathbb R}…
Local boundedness, maximum principles, and continuity of solutions to infinitely degenerate elliptic equations
Lyudmila Korobenko, Cristian Rios, Eric Sawyer +1
We develop subrepresentation inequalities for infinitely degenerate metrics, and obtain corresponding Poincare and Sobolev inequalities. We then derive conditions on the degenerate…
A Semi-linear Energy Critical Wave Equation With Applications
Ruipeng Shen
In this work we consider a semi-linear energy critical wave equation in () \[ \partial_t^2 u - Δu = \pm ϕ(x) |u|^{4/(d-2)} u, \qquad (x,t)\in {\math…