We define and study the Cauchy problem for a one-dimensional (1-D) nonlinear Dirac equation with nonlinearities concentrated at one point. Global well-posedness is provided and conservation laws for mass and energy are shown. Several examples, including nonlinear Gesztesy- Å eba models and the concentrated versions of the Bragg resonance and 1-D Soler (also known as massive Gross-Neveu) type models, all within the scope of the present paper, are given. The key point of the proof consists in the reduction of the original equation to a nonlinear integral equation for an auxiliary, space-independent variable
Cacciapuoti, C., Carlone, R., Noja, D., & Posilicano, A. (2017). The one-dimensional Dirac equation with concentrated nonlinearity. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 49(3), 2246-2268.
Citazione: | Cacciapuoti, C., Carlone, R., Noja, D., & Posilicano, A. (2017). The one-dimensional Dirac equation with concentrated nonlinearity. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 49(3), 2246-2268. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | The one-dimensional Dirac equation with concentrated nonlinearity |
Autori: | Cacciapuoti, C; Carlone, R; Noja, D; Posilicano, A |
Autori: | NOJA, DIEGO DAVIDE (Penultimo) |
Data di pubblicazione: | 2017 |
Lingua: | English |
Rivista: | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1137/16M1084420 |
Appare nelle tipologie: | 01 - Articolo su rivista |
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