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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9628| Title: | Remark on the Ill-Posedness for KdV-Burgers Equation in Fourier Amalgam Spaces |
| Authors: | BHIMANI, DIVYANG G. Haque, Saikatul Cardona, Duván Restrepo, Joel Ruzhansky, Michael Dept. of Mathematics |
| Keywords: | 2024 Fourier amalgam spaces Fourier-Lebesgue spaces Ill-posedness Korteweg-de Vries-Burgers (KdV-B) equation Modulsation spaces |
| Issue Date: | Feb-2024 |
| Publisher: | Springer Nature |
| Citation: | Extended Abstracts 2021/2022 - Methusalem Lectures, 67–73. |
| Abstract: | We have established (a weak form of) ill-posedness for the KdV-Burgers equation on a real line in Fourier amalgam spaces w^sp,q with s<−1. The particular case p=q=2 recovers the result in Molinet and Ribaud (Int. Math. Res. Not. 2002:1979–2005 (2002)). The result is new even in Fourier Lebesgue space ℱLsq which corresponds to the case p=q(≠2) and in modulation space Ms2,q which corresponds to the case p=2,q≠2. |
| URI: | https://doi.org/10.1007/978-3-031-48579-4_7 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9628 |
| ISBN: | 978-3-031-48578-7 978-3-031-48579-4 |
| Appears in Collections: | BOOK CHAPTERS |
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