4 papers
Nonexistence of multi-bubble radial solutions to the 3D energy critical wave equation
Ruipeng Shen
In this work we consider the focusing, energy-critical wave equation in 3D radial case. It has been verified that any global or type II blow-up solution decomposes into a superposi…
Modified wave operators and scattering for linear wave equations with a repulsive potential
Boya Fan, Ruipeng Shen
In this work we consider the wave equation with a repulsive potential, either on the half line or the Euclidean space with . We combine the…
On the wave equation with Coulomb potential
Liang Li, Shenghao Luo, Ruipeng Shen
Wave/Schrödinger equations with potentials naturally originates from both the quantum physics and the study of nonlinear equations. The distractive Coulomb potential is a quantum m…
Channel-localized Strichartz estimates of radial wave equations
Liang Li, Shenghao Luo, Ruipeng Shen
In this work we give a few new Strichartz estimates of radial solutions to the wave equation. These Strichartz estimates still use type norms in each channel-like region…