Van Duong Dinh

activity

20162026

most citedOn stability and instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential

26 citations · 174 across the 43 of their papers we have counts for

collaborators

Showing 2021 · math.APShow all

2 papers · 2 filters

math.AP2021★ 1 cited

Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatial growing nonlinearity

Van Duong Dinh, Mohamed Majdoub, Tarek Saanouni

We investigate the Cauchy problem for the focusing inhomogeneous nonlinear Schrödinger equation $i \partial_{t} u + Δ u = - ∣ x ∣^{b} ∣ u ∣^{p - 1} u$ in the radial Sobolev space $H^1_{\text{…

math.AP2021

Long time dynamics of non-radial solutions to inhomogeneous nonlinear Schrödinger equations

Van Duong Dinh, Sahbi Keraani

We study long time dynamics of non-radial solutions to the focusing inhomogeneous nonlinear Schrödinger equation. By using the concentration/compactness and rigidity method, we est…