Work

Normalized solution to coupled nonhomogeneous nonlinear elliptic system with three wave interaction under unbounded potentials

Year: 2022

Type: preprint

Abstract: In this paper, we use the variational method to find the normalized solutions of the quadratic coupled three wave Schrodinger equation with asymmetric coercive potential. We prove the existence of solutions for the system with 2-norm constraints.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2211.10110

Author: Han, Mingyang

Institution: Capital Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G1845246955, G3897778009, G7031392308, G7837905627

OpenAlex ID: W4309585703

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