5 citations · 18 across the 12 of their papers we have counts for
19 papers
The blow-up rate for a loglog non-scaling invariant semilinear wave equation
Tristan Roy, Hatem Zaag
We consider blow-up solutions of a semilinear wave equation with a loglog perturbation of the power nonlinearity in the subconformal case, and show that the blow-up rate is given b…
Global Dynamics Above The Ground State Energy For The Energy-Critical Klein-Gordon Equation
Tristan Roy
Consider the focusing energy-critical Klein-Gordon equation in dimension d=3,4,5. We describe the global dynamics of real-valued solutions of which the energy is slightly larger th…
Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus
Tristan Roy
We study the initial value problem of fully nonlinear third-order equations on the torus. Under some conditions on the nonlinearity and the data, we prove that the equation behaves…
On Jensen-type inequalities for nonsmooth radial scattering solutions of a loglog energy-supercritical Schrodinger equation
Tristan Roy
Given (resp. ) and (resp. ), we prove scattering of the radial $\tilde{H}^{k}:= \dot{H}^{k}(\mathbb{R}^{n}) \cap \dot{H}^{1}(\ma…
Scattering above energy norm of a focusing size-dependent log energy-supercritical Schrodinger equation with radial data below ground state
Tristan Roy
Given and (resp. ) if (resp. ), we prove scattering of the radial $\tilde{H}^{k}:= \dot{H}^{k}(\mathbb{R}^{n…
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…