Instability of standing waves of the schrödinger equation with inhomogeneous nonlinearity
- Author
- YUE LIU1 ; WANG, Xiao-Ping2 ; KE WANG3
[1] DEPARTMENT OF MATHEMATICS, UNIVERSITY OF TEXAS, Arlington, Texas 76019, United States
[2] DEPARTMENT OF MATHEMATICS, THE HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY, Clear Water Bay, Kowloon, Hong-Kong
[3] CALIFORNIA INSTITUTE OF TECHNOLOGY, MC 217-50, 1200 E. CALIFORNIA BOULEVARD, Pasadena, California 91125, United States - Source
Transactions of the American Mathematical Society. 2006, Vol 358, Num 5, pp 2105-2122, 18 p ; ref : 16 ref
- CODEN
- TAMTAM
- ISSN
- 0002-9947
- Scientific domain
- Mathematics
- Publisher
- American Mathematical Society, Providence, RI
- Publication country
- United States
- Document type
- Article
- Language
- English
- Keyword (fr)
- Equation Schrödinger Equation non linéaire Equation onde Etat fondamental Explosion solution Instabilité Onde stationnaire Perturbation Théorie stabilité Non minéarité non homogène Solution équation
- Keyword (en)
- Schrödinger equation Non linear equation Wave equation Ground state Solution blow up Instability Standing wave Perturbation Stability theory Inhomogeneous nonlinearity
- Keyword (es)
- Ecuación Schrödinger Ecuación no lineal Ecuación onda Estado fundamental Explosión solución Inestabilidad Onda estacionaria Perturbación
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02E Mathematical analysis / 001A02E08 Partial differential equations
- Pascal
- 001 Exact sciences and technology / 001B Physics / 001B40 Fundamental areas of phenomenology (including applications) / 001B40G Fluid dynamics / 001B40G11 Computational methods in fluid dynamics
- Discipline
- Mathematics Physics : fluid mechanics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 17676357
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Access to the document
Install on your browser
DOI
10.1090/S0002-9947-05-03763-3 
https://dx.doi.org/10.1090/S0002-9947-05-03763-3
"O:13:\"PanistOpenUrl\":36:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000idc\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:29:\"10.1090\/S0002-9947-05-03763-3\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Transactions of the American Mathematical Society\";s:9:\"\u0000*\u0000stitle\";s:20:\"Trans. Am. Math. Soc\";s:7:\"\u0000*\u0000date\";s:4:\"2006\";s:9:\"\u0000*\u0000volume\";s:3:\"358\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"2105\";s:8:\"\u0000*\u0000epage\";s:4:\"2122\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0002-9947\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"YUE LIU\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:15:\"WANG, Xiao-Ping\";i:1;s:7:\"KE WANG\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"TAMTAM\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:8:\"\u0000*\u0000place\";s:14:\"Providence, RI\";s:6:\"\u0000*\u0000pub\";s:29:\"American Mathematical Society\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"18\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Panist access
"O:12:\"IstexOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:29:\"10.1090\/S0002-9947-05-03763-3\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Transactions of the American Mathematical Society\";s:9:\"\u0000*\u0000stitle\";s:20:\"Trans. Am. Math. Soc\";s:7:\"\u0000*\u0000date\";s:4:\"2006\";s:9:\"\u0000*\u0000volume\";s:3:\"358\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"2105\";s:8:\"\u0000*\u0000epage\";s:4:\"2122\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0002-9947\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"YUE LIU\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:15:\"WANG, Xiao-Ping\";i:1;s:7:\"KE WANG\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"TAMTAM\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:8:\"\u0000*\u0000place\";s:14:\"Providence, RI\";s:6:\"\u0000*\u0000pub\";s:29:\"American Mathematical Society\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"18\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Istex access
"O:16:\"UnpaywallOpenUrl\":35:{s:8:\"\u0000*\u0000email\";s:27:\"assistance-portail@inist.fr\";s:6:\"\u0000*\u0000fmt\";N;s:6:\"\u0000*\u0000doi\";s:29:\"10.1090\/S0002-9947-05-03763-3\";s:6:\"\u0000*\u0000pii\";N;s:7:\"\u0000*\u0000pmid\";N;s:9:\"\u0000*\u0000atitle\";N;s:9:\"\u0000*\u0000jtitle\";N;s:9:\"\u0000*\u0000stitle\";N;s:7:\"\u0000*\u0000date\";N;s:9:\"\u0000*\u0000volume\";N;s:8:\"\u0000*\u0000issue\";N;s:8:\"\u0000*\u0000spage\";N;s:8:\"\u0000*\u0000epage\";N;s:8:\"\u0000*\u0000pages\";N;s:7:\"\u0000*\u0000issn\";N;s:8:\"\u0000*\u0000eissn\";N;s:9:\"\u0000*\u0000aulast\";N;s:10:\"\u0000*\u0000aufirst\";N;s:9:\"\u0000*\u0000auinit\";N;s:10:\"\u0000*\u0000auinitm\";N;s:5:\"\u0000*\u0000au\";N;s:9:\"\u0000*\u0000aucorp\";N;s:7:\"\u0000*\u0000isbn\";N;s:8:\"\u0000*\u0000coden\";N;s:8:\"\u0000*\u0000genre\";N;s:7:\"\u0000*\u0000part\";N;s:9:\"\u0000*\u0000btitle\";N;s:8:\"\u0000*\u0000title\";N;s:8:\"\u0000*\u0000place\";N;s:6:\"\u0000*\u0000pub\";N;s:10:\"\u0000*\u0000edition\";N;s:9:\"\u0000*\u0000tpages\";N;s:9:\"\u0000*\u0000series\";N;s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";N;}"
Unpaywall access
"O:16:\"EuropePMCOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:29:\"10.1090\/S0002-9947-05-03763-3\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Transactions of the American Mathematical Society\";s:9:\"\u0000*\u0000stitle\";s:20:\"Trans. Am. Math. Soc\";s:7:\"\u0000*\u0000date\";s:4:\"2006\";s:9:\"\u0000*\u0000volume\";s:3:\"358\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"2105\";s:8:\"\u0000*\u0000epage\";s:4:\"2122\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0002-9947\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"YUE LIU\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:15:\"WANG, Xiao-Ping\";i:1;s:7:\"KE WANG\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"TAMTAM\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:8:\"\u0000*\u0000place\";s:14:\"Providence, RI\";s:6:\"\u0000*\u0000pub\";s:29:\"American Mathematical Society\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"18\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Europe PubMed Central access
"O:11:\"BaseOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:29:\"10.1090\/S0002-9947-05-03763-3\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Transactions of the American Mathematical Society\";s:9:\"\u0000*\u0000stitle\";s:20:\"Trans. Am. Math. Soc\";s:7:\"\u0000*\u0000date\";s:4:\"2006\";s:9:\"\u0000*\u0000volume\";s:3:\"358\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"2105\";s:8:\"\u0000*\u0000epage\";s:4:\"2122\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0002-9947\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"YUE LIU\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:15:\"WANG, Xiao-Ping\";i:1;s:7:\"KE WANG\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"TAMTAM\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:8:\"\u0000*\u0000place\";s:14:\"Providence, RI\";s:6:\"\u0000*\u0000pub\";s:29:\"American Mathematical Society\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"18\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Base Search access
"O:12:\"ArXivOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:29:\"10.1090\/S0002-9947-05-03763-3\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:9:\"\u0000*\u0000jtitle\";s:49:\"Transactions of the American Mathematical Society\";s:9:\"\u0000*\u0000stitle\";s:20:\"Trans. Am. Math. Soc\";s:7:\"\u0000*\u0000date\";s:4:\"2006\";s:9:\"\u0000*\u0000volume\";s:3:\"358\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"2105\";s:8:\"\u0000*\u0000epage\";s:4:\"2122\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0002-9947\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:7:\"YUE LIU\";s:10:\"\u0000*\u0000aufirst\";s:0:\"\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:2:{i:0;s:15:\"WANG, Xiao-Ping\";i:1;s:7:\"KE WANG\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"TAMTAM\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:90:\"Instability of standing waves of the schr\u00f6dinger equation with inhomogeneous nonlinearity\";s:8:\"\u0000*\u0000place\";s:14:\"Providence, RI\";s:6:\"\u0000*\u0000pub\";s:29:\"American Mathematical Society\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"18\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
arXiv access
