Name
Abstract | ||
|---|---|---|
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-Seba 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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/16M1084420 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
nonlinear Dirac equation,well-posedness,point interactions | Nonlinear system,Dirac equation,Mathematical analysis,Initial value problem,Nonlinear integral equation,Resonance,Mathematics,Conservation law,Nonlinear Dirac equation | Journal |
Volume | Issue | ISSN |
49 | 3 | 0036-1410 |
Citations | PageRank | References |
1 | 0.87 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Claudio Cacciapuoti | 1 | 2 | 1.83 |
| Raffaele Carlone | 2 | 2 | 2.17 |
| Diego Noja | 3 | 1 | 1.21 |
| Andrea Posilicano | 4 | 1 | 1.21 |