Work

Non-global solutions to the fractional INLS without gauge invariance

Year: 2024

Type: article

Abstract: This work investigates the non-global existence of solutions to the inhomogeneous nonlinear fractional Schrödinger problem without gauge invariance. Indeed, we prove the non-global existence of both mass-sub-critical and energy-sub-critical solutions for small datum. This makes an essential difference with the inhomogeneous nonlinear fractional Schrödinger problem with gauge invariance.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2024166

Author: Tarek Saanouni

Institution: Qassim University

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402523113

FWCI:

Cites: 27

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Related to: 10