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https://open.uns.ac.rs/handle/123456789/15759
Nаziv: | Nonlinear Schrödinger equation with singular potential and initial data | Аutоri: | Stojanović, Mirjana | Dаtum izdаvаnjа: | 1-апр-2006 | Čаsоpis: | Nonlinear Analysis, Theory, Methods and Applications | Sažetak: | 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 |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
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