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- Publisher Website: 10.1007/s11425-011-4204-y
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Article: Stability of solutions for nonlinear Schrödinger equations in critical spaces
| Title | Stability of solutions for nonlinear Schrödinger equations in critical spaces |
|---|---|
| Authors | |
| Keywords | critical space Schrödinger equation stability |
| Issue Date | 2011 |
| Citation | Science China Mathematics, 2011, v. 54, n. 5, p. 973-986 How to Cite? |
| Abstract | We consider the Cauchy problem for nonlinear Schrödinger equation iut + Δu = ± {norm of matrix}u{norm of matrix}pu,4/d < p< 4/d-2 in high dimensions d ≥ 6. We prove the stability of solutions in the critical space, where Sp=d/2 - 2/p. © 2011 Science China Press and Springer-Verlag Berlin Heidelberg. |
| Persistent Identifier | http://hdl.handle.net/10722/326862 |
| ISSN | 2023 Impact Factor: 1.4 2023 SCImago Journal Rankings: 1.060 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, Dong | - |
| dc.contributor.author | Zhang, Xiao Yi | - |
| dc.date.accessioned | 2023-03-31T05:27:04Z | - |
| dc.date.available | 2023-03-31T05:27:04Z | - |
| dc.date.issued | 2011 | - |
| dc.identifier.citation | Science China Mathematics, 2011, v. 54, n. 5, p. 973-986 | - |
| dc.identifier.issn | 1674-7283 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/326862 | - |
| dc.description.abstract | We consider the Cauchy problem for nonlinear Schrödinger equation iut + Δu = ± {norm of matrix}u{norm of matrix}pu,4/d < p< 4/d-2 in high dimensions d ≥ 6. We prove the stability of solutions in the critical space, where Sp=d/2 - 2/p. © 2011 Science China Press and Springer-Verlag Berlin Heidelberg. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Science China Mathematics | - |
| dc.subject | critical space | - |
| dc.subject | Schrödinger equation | - |
| dc.subject | stability | - |
| dc.title | Stability of solutions for nonlinear Schrödinger equations in critical spaces | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s11425-011-4204-y | - |
| dc.identifier.scopus | eid_2-s2.0-79956286332 | - |
| dc.identifier.volume | 54 | - |
| dc.identifier.issue | 5 | - |
| dc.identifier.spage | 973 | - |
| dc.identifier.epage | 986 | - |
| dc.identifier.isi | WOS:000290768800009 | - |