Positive periodic solutions for the Korteweg-de Vries equation
| dc.contributor.author | Georgiev, Svetlin G. | |
| dc.date.accessioned | 2021-08-05T16:38:19Z | |
| dc.date.available | 2021-08-05T16:38:19Z | |
| dc.date.issued | 2007-04-04 | |
| dc.description.abstract | In this paper we prove that the Korteweg-de Vries equation ∂tu + ∂3xu + u∂xu = 0 has unique positive solution u(t, x) which is ⍵-periodic with respect to the time variable t and u(0, x) ∈ Ḃγp,q ([α, b]), γ > 0, γ ∉ {1, 2,...}, p > 1, q ≥ 1, α < b are fixed constants, x ∈ [α, b]. The period ⍵ > 0 is arbitrary chosen and fixed. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Georgiev, S. G. (2007). Positive periodic solutions for the Korteweg-de Vries equation. <i>Electronic Journal of Differential Equations, 2007</i>(49), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14210 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Nonlinear evolution equation | |
| dc.subject | Kortewg de Vries equation | |
| dc.subject | Periodic solutions | |
| dc.title | Positive periodic solutions for the Korteweg-de Vries equation | |
| dc.type | Article |