Local existence of solutions to randomized Gross-Pitaevskii hierarchies
independently randomized Gross-Pitaevskii hierarchy and the , which were first introduced in the author's joint work with Staffilani (2013). For these hierarchies, we construct local-in-time low-regularity solutions in spaces which contain a random component. The constructed density matrices wi...
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| Veröffentlicht in: | Transactions of the American Mathematical Society 2016-03, Vol.368 (3), p.1759-1835 |
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| container_title | Transactions of the American Mathematical Society |
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| creator | Sohinger, Vedran |
| description | independently randomized Gross-Pitaevskii hierarchy and the , which were first introduced in the author's joint work with Staffilani (2013). For these hierarchies, we construct local-in-time low-regularity solutions in spaces which contain a random component. The constructed density matrices will solve the full randomized hierarchies, thus extending the results from the author and Staffilani's joint work, where solutions solving arbitrarily long subhierarchies were given. |
| doi_str_mv | 10.1090/tran/6479 |
| format | Article |
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For these hierarchies, we construct local-in-time low-regularity solutions in spaces which contain a random component. 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For these hierarchies, we construct local-in-time low-regularity solutions in spaces which contain a random component. The constructed density matrices will solve the full randomized hierarchies, thus extending the results from the author and Staffilani's joint work, where solutions solving arbitrarily long subhierarchies were given.</abstract><pub>American Mathematical Society</pub><doi>10.1090/tran/6479</doi><tpages>77</tpages><oa>free_for_read</oa></addata></record> |
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| source | American Mathematical Society Publications (Freely Accessible); JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; American Mathematical Society Publications; EZB-FREE-00999 freely available EZB journals |
| title | Local existence of solutions to randomized Gross-Pitaevskii hierarchies |
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