Jonathan Jaquette

activity

20172021

most citedRigorous numerics for nonlinear heat equations in the complex plane of time

2 citations · 3 across the 4 of their papers we have counts for

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math.AP2021

Quasiperiodicity and blowup in integrable subsystems of nonconservative nonlinear Schrödinger equations

Jonathan Jaquette

In this paper, we study the dynamics of a class of nonlinear Schrödinger equation $i u_{t} = △ u + u^{p}$ for $x \in T^{d}$ . We prove that the PDE is integrable on th…

math.AP2020

Global dynamics in nonconservative nonlinear Schrödinger equations

Jonathan Jaquette, Jean-Philippe Lessard, Akitoshi Takayasu

In this paper, we study the global dynamics of a class of nonlinear Schrödinger equations using perturbative and non-perturbative methods. We prove the semi-global existence of sol…