Yongming Luo

collaborators

2 papers

math.AP2024

Solitons, scattering and blow-up for the nonlinear Schrödinger equation with combined power-type nonlinearities on $R^{d} \times T$

Luigi Forcella, Yongming Luo, Zehua Zhao

We investigate the long time dynamics of the nonlinear Schrödinger equation (NLS) with combined powers on the waveguide manifold $R^{d} \times T$ . Different from the…

math.AP2023

A Legendre-Fenchel identity for the nonlinear Schrödinger equations on $R^{d} \times T^{m}$ : theory and applications

Yongming Luo

The present paper is inspired by a previous work \cite{Luo_Waveguide_MassCritical} of the author, where the large data scattering problem for the focusing cubic nonlinear Schröding…

Solitons, scattering and blow-up for the nonlinear Schrödinger equation with combined power-type nonlinearities on Rd×T

A Legendre-Fenchel identity for the nonlinear Schrödinger equations on Rd×Tm: theory and applications

Solitons, scattering and blow-up for the nonlinear Schrödinger equation with combined power-type nonlinearities on $R^{d} \times T$

A Legendre-Fenchel identity for the nonlinear Schrödinger equations on $R^{d} \times T^{m}$ : theory and applications