We consider the non-linear Hartree equation with a slowly varying external potential Vε and a short range, attractive two-body interaction W. We prove the existence of stationary solutions which are approximatively given by a superposition of several Hartree solitons with their center of mass positions behaving, at the leading order, as classical particles at rest in the background potential Vε.
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http://hdl.handle.net/11697/21533
Titolo: | Stationary solutions for the non-linear Hartree equation with a slowly varying potential |
Autori: | |
Data di pubblicazione: | 2009 |
Rivista: | |
Abstract: | We consider the non-linear Hartree equation with a slowly varying external potential Vε and a short range, attractive two-body interaction W. We prove the existence of stationary solutions which are approximatively given by a superposition of several Hartree solitons with their center of mass positions behaving, at the leading order, as classical particles at rest in the background potential Vε. |
Handle: | http://hdl.handle.net/11697/21533 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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