Andrew Rout

activity

20222026

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math.AP2025

Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity

Jinyeop Lee, Andrew Rout

We study the solution theory of the nonlinear Schrödinger equation with a concentrated nonlinearity on the torus. In particular, we establish existence and uniqueness of global ene…

math.AP2025

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $T^{3}$

Ryan L. Acosta Babb, Andrew Rout

In this article, we consider Hartree equations generalised to $2 p + 1$ order nonlinearities. These equations arise in the study of the mean-field limits of Bose gases with $p$ -body i…

Well-posedness of the periodic nonlinear Schrödinger equation with concentrated nonlinearity

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on T3

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $T^{3}$