Work

Title: Solutions with expanding compact support of saturated Schrodinger equations: self-similar solutions

Year: 2025

Type: article

Abstract: We prove the existence of solutions \(u(t,x)\) of the Schrodinger equation with a saturation nonlinear term \((u/|u|)\) having compact support, for each \(t>0\), that expands with a growth law of the type \(C\sqrt{t}\). The primary tool is considering the self-similar solution of the associated equation. For more information see https://ejde.math.txstate.edu/Volumes/2025/53/abstr.html

Source: Electronic Journal of Differential Equations

DOI: 10.58997/ejde.2025.53

Authors: Pascal Begout, Jesus Ildefonso Diaz

Institutions: Université Toulouse Capitole, Universidad Complutense de Madrid

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410792132

FWCI:

Cites:

Cited by:

Related to: 10