On the blow up time estimation to the Schrödinger equation
Autor: | Gintaras Puriuškis |
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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 |
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