Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/15759
Title: | Nonlinear Schrödinger equation with singular potential and initial data | Authors: | Stojanović, Mirjana | Issue Date: | 1-Apr-2006 | Journal: | Nonlinear Analysis, Theory, Methods and Applications | Abstract: | We consider a nonlinear Schrödinger equation with singular potential and initial data when the nonlinear term is an Lloc∞-function which does not satisfy the Lipschitz condition. To avoid non-Lipshitz nonlinearity we use the cut-off method of regularization and as a framework for existence-uniqueness theorems we employ Colombeau vector space GC1,W2,2 ([0,T),Rn), n≤3. As an example we prove the existence-uniqueness result for nonlinear mapping f(u)=|u|p-1u, p≥1, in the space GC1,W2,2([0,T),Rn), n≤3. | URI: | https://open.uns.ac.rs/handle/123456789/15759 | ISSN: | 0362546X | DOI: | 10.1016/j.na.2005.06.045 |
Appears in Collections: | PMF Publikacije/Publications |
Show full item record
SCOPUSTM
Citations
6
checked on Sep 9, 2023
Page view(s)
12
Last Week
11
11
Last month
0
0
checked on May 3, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.