On the blow up time estimation to the Schrödinger equation

Autor: Gintaras Puriuškis
Jazyk: English<br />Lithuanian
Rok vydání: 2023
Předmět:
Zdroj: Lietuvos Matematikos Rinkinys, Vol 45, Iss spec. (2023)
Druh dokumentu: article
ISSN: 0132-2818
2335-898X
DOI: 10.15388/LMR.2005.24559
Popis: There is considered the Schrödinger equation ∂u/∂t= i Δu+ i|u|p , u, t > 0, with initial condition u(0, x)= u0(x), x ∈ Rn, n = 1. We prove the existence of the u0(x) such, that the blow up time estimation increases if p increases in the intervale 4 < p < p0.
Databáze: Directory of Open Access Journals