Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices
dc.contributor.author | Carvajal, Xavier | |
dc.date.accessioned | 2021-04-05T18:17:25Z | |
dc.date.available | 2021-04-05T18:17:25Z | |
dc.date.issued | 2004-01-23 | |
dc.description.abstract | We prove that the initial value problem associated with ∂tu + iα∂2xu + β∂3xu + iγ|u|2u = 0, x, t ∈ ℝ, is locally well-posed in Hs for s > -1/4. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 10 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Carvajal, X. (2004). Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices. Electronic Journal of Differential Equations, 2004(13), pp. 1-10. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13332 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Schrodinger equation | |
dc.subject | Korteweg-de Vries equation | |
dc.subject | Trilinear estimate | |
dc.subject | Bourgain spaces | |
dc.title | Local well-posedness for a higher order nonlinear Schrodinger equation in Sobolev spaces of negative indices | |
dc.type | Article |