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math.AP2023
Speed of propagation of fractional dispersive waves
Brian Choi, Steven Walton
In this paper, we show that all non-trivial solutions of a broad class of nonlinear dispersive equations, whose linear evolution is governed by a dispersion relation under minimal…
math.AP2021
Null-Controllability of a Non-Local Heat Equation
Steven Walton
We consider the null-controllability of a non-local heat equation by interior controls. We confirm a conjecture of Lissy and Zuazua by showing that it is enough to assume…