Almost optimal local well-posedness for modified Boussinesq equations
| dc.contributor.author | Geba, Dan-Andrei | |
| dc.contributor.author | Lin, Bai | |
| dc.date.accessioned | 2021-09-21T20:04:19Z | |
| dc.date.available | 2021-09-21T20:04:19Z | |
| dc.date.issued | 2020-03-19 | |
| dc.description.abstract | In this article, we investigate a class of modified Boussinesq equations, for which we provide first an alternate proof of local well-posedness in the space (Hs ∩ L∞) x (Hs ∩ L∞)(ℝ) (s ≥ 0) to the one obtained by Constantin and Molinet [7]. Secondly, we show that the associated flow map is not smooth when considered from Hs x Hs(ℝ) into Hs(ℝ) for s < 0, thus providing a threshold for the regularity needed to perform a Picard iteration for these equations. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Geba, D. A., & Lin, B. (2020). Almost optimal local well-posedness for modified Boussinesq equations. <i>Electronic Journal of Differential Equations, 2020</i>(24), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14528 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Modified Boussinesq equation | |
| dc.subject | Well-posedness | |
| dc.subject | Ill-posedness | |
| dc.title | Almost optimal local well-posedness for modified Boussinesq equations | |
| dc.type | Article |