Author

Simão Correia

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Open access Jul 2025

Nonlinear smoothing implies improved lower bounds on the radius of spatial analyticity for nonlinear dispersive equations

We provide a roadmap to establish improved lower bounds on the decay rate of the uniform radius of analyticity σ(T)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{...

Mikaela Baldasso, Simão Correia · Journal of evolution equatio... · 2 citations

Preprint Oct 2026

Global well-posedness for the modified dispersion-generalized Benjamin-Ono equations

In this short note, we prove the global well-posedness of the modified dispersion-generalized Benjamin-Ono equation with dispersion $1<\alpha<2$, $$\partial_t u + D^\alpha \partial_x u + u^2\partial_x u=0,$$ over the Sobolev space $H^s(\mathbb{R})$, for any regularity $s$ greater or equal than the sharp analytic well-p...

Mikaela Baldasso, Simão Correia, Thyago S. R. Santos · 0 citations