5 citations · 18 across the 12 of their papers we have counts for
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math.AP2015★ 3 cited
Global dynamics above the ground state for the energy-critical Schrodinger equation with radial data
Kenji Nakanishi, Tristan Roy
Consider the focusing energy critical Schrodinger equation in three space dimensions with radial initial data in the energy space. We describe the global dynamics of all the soluti…
math.AP2015
A weak form of the soliton resolution conjecture for high-dimensional fourth-order Schrodinger equations
Tristan Roy
We prove a weak form of the soliton resolution conjecture of bounded solutions of high-dimensional fourth-order Schrodinger equations. The result relies upon two properties to be p…
math.AP2015★ 5 cited
Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on
Thomas Duyckaerts, Tristan Roy
We consider the wave equation in space dimension , with an energy-supercritical nonlinearity which can be either focusing or defocusing. For any radial solution of the equation,…