28 citations · 122 across the 16 of their papers we have counts for
20 papers
Scattering for the 4D Zakharov system below the ground state
Timothy Candy, Kenji Nakanishi
For the Zakharov system in four space dimensions, we prove that all solutions inside the potential well of the ground states are global and scattering in the energy space, with no…
The massless and the non-relativistic limit for the cubic Dirac equation
Timothy Candy, Sebastian Herr
Massive and massless Dirac equations with Lorentz-covariant cubic nonlinearities are considered in spatial dimension . Global well-posedness of the Cauchy problem for small…
Minimal non-scattering solutions for the Zakharov system
Timothy Candy
We consider the Zakharov system in the energy critical dimension with energy below the ground state. It is known that below the ground state solutions exist globally in time,…
A note on bilinear wave-Schrödinger interactions
Timothy Candy
We consider bilinear restriction estimates for wave-Schrödinger interactions and provided a sharp condition to ensure that the product belongs to in the full bilinear…
Global wellposedness for the energy-critical Zakharov system below the ground state
Timothy Candy, Sebastian Herr, Kenji Nakanishi
The Cauchy problem for the Zakharov system in the energy-critical dimension is considered. We prove that global well-posedness holds in the full (non-radial) energy space for…
The Zakharov system in dimension
Timothy Candy, Sebastian Herr, Kenji Nakanishi
The sharp range of Sobolev spaces is determined in which the Cauchy problem for the classical Zakharov system is well-posed, which includes existence of solutions, uniqueness, pers…