Well-posedness of a higher-order Schrödinger–Poisson–Slater system
Abstract In this paper, we show the global well-posedness of a higher-order nonlinear Schrödinger equation. Specifically, we consider a system of infinitely many coupled higher-order Schrödinger–Poisson–Slater equations with a self-consistent Coulomb potential. We prove the existence and uniqueness...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1102-z |
| Summary: | Abstract In this paper, we show the global well-posedness of a higher-order nonlinear Schrödinger equation. Specifically, we consider a system of infinitely many coupled higher-order Schrödinger–Poisson–Slater equations with a self-consistent Coulomb potential. We prove the existence and uniqueness global in time of solutions in L2(R3) $L^{2}( \mathbb{R}^{3})$ and in the energy space. |
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| ISSN: | 1687-2770 |