4 papers · 1 filter
Scattering for defocusing energy subcritical nonlinear wave equations
Benjamin Dodson, Andrew Lawrie, Dana Mendelson +1
We consider the Cauchy problem for the defocusing power type nonlinear wave equation in -dimensions for energy subcritical powers in the range . We prove that…
The energy-critical nonlinear wave equation with an inverse-square potential
Changxing Miao, Jason Murphy, Jiqiang Zheng
We study the energy-critical nonlinear wave equation in the presence of an inverse-square potential in dimensions three and four. In the defocusing case, we prove that arbitrary in…
Stability of small solitary waves for the 1 NLS with an attractive delta potential
Satoshi Masaki, Jason Murphy, Jun-ichi Segata
We consider the initial-value problem for the one-dimensional nonlinear Schrödinger equation in the presence of an attractive delta potential. We show that for sufficiently small i…
The radial mass-subcritical NLS in negative order Sobolev spaces
Rowan Killip, Satoshi Masaki, Jason Murphy +1
We consider the mass-subcritical NLS in dimensions with radial initial data. In the defocusing case, we prove that any solution that remains bounded in the critical Sobol…