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math.AP2022
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,…
math.AP2018
On the Division Problem for the Wave Maps Equation
Timothy Candy, Sebastian Herr
We consider Wave Maps into the sphere and give a new proof of small data global well-posedness and scattering in the critical Besov space, in any space dimension . We use…
math.AP2018
Asymptotic Behavior of the Maxwell-Klein-Gordon system
Timothy Candy, Christopher Kauffman, Hans Lindblad
In previous work on the Maxwell-Klein-Gordon system first existence and then decay estimates have been shown. Here we show that the Maxwell-Klein-Gordon in the Lorentz gauge satisf…