Ruobing Bai

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math.AP2025

Finite time blow-up of non-radial solutions for some inhomogeneous SchrÃ¶dinger equations

Ruobing Bai, Tarek Saanouni

This work studies the inhomogeneous SchrÃ¶dinger equation $i \partial_{t} u - K_{s, I^»} u + F (x, u) = 0, u (t, x) : R \times R^{N} \to C .$ Here, $s\in\{1…

math.AP2024

Finite time/Infinite time blow-up behaviors for the inhomogeneous nonlinear SchrÃ¶dinger equation

Ruobing Bai, Bing Li

In this work, we consider the following focusing inhomogeneous nonlinear SchrÃ¶dinger equation \begin{align*} i\partial_t u+Îu +|x|^{-b}|u|^p u=0,\quad (t, x)\in\mathbb{R}\times\m…