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math.AP2026
Bounds on the growth of high Sobolev norms of solutions to the fractional nonlinear Schrödinger equation on and
Antonios Kapetanios, José L. Rodrigo, Vedran Sohinger
We prove polynomial bounds on the growth of high Sobolev norms of solutions to the defocusing fractional nonlinear Schrödinger equation with cubic and Hartree-type nonlinearities…
math.AP2024
Gibbs measures as local equilibrium KMS states for focusing nonlinear Schrödinger equations
Zied Ammari, Andrew Rout, Vedran Sohinger
In this paper, we are concerned with the study of statistical equilibria for focusing nonlinear Schrödinger and Hartree equations on the d-dimensional torus when d=1,2,3. Due to t…