Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the periodic case
Overview & Synopsis
We prove that the KdV-Burgers is globally well-posed in $ H^{-1}(\T) $ with a solution-map that is analytic from $H^{-1}(\T) $ to $C([0,T];H^{-1}(\T))$ whereas it is ill-posed in $ H^s(\T) $, as soon as $ s
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Document Information
| Document Title | Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the periodic case |
|---|---|
| Author / Organization | Luc Molinet, Stéphane Vento |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2013 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-202825 |
| Original Source Link | Visit Source Page on hal.science » |