Work

Threshold dynamics for the 3d radial NLS with combined nonlinearity

Year: 2025

Type: article

Abstract: We consider the nonlinear Schrödinger equation with focusing quintic and defocusing cubic nonlinearity in three space dimensions: ( i ∂ t + Δ ) u = | u | 2 u − | u | 4 u . In [18] , the authors classified the dynamics of solutions under the energy constraint E ( u ) < E c ( W ) , where W is the quintic NLS ground state and E c is the quintic NLS energy. In this work we classify the dynamics of H 1 solutions at the threshold E ( u ) = E c ( W ) .

Source: Journal of Differential Equations

DOI: 10.1016/j.jde.2025.113800

Authors: Alex H. Ardila, Jason Murphy, Jiqiang Zheng

Institutions: Universidad del Valle, University of Oregon, Institute of Applied Physics and Computational Mathematics

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: National Science Foundation, National Natural Science Foundation of China, National Key Research and Development Program of China