| Title | Simplified a priori estimate for the time periodic Burgers' equation |
| Authors | Magnus Fontes, Olivier Verdier |
| Alternative Location | http://dx.doi.org/10.3176/p..., Restricted Access |
| Publication | Proceedings of the Estonian Academy of Sciences |
| Year | 2010 |
| Volume | 59 |
| Issue | 1 |
| Pages | 34 - 41 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Estonian Academy Publishers |
| Abstract English | We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers' equation with irregular forcing terms (with Sobolev regularity -1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing terms with regularity -1/2 in time. |
| Keywords | Sobolev spaces, distributions, periodic solutions, Burgers' equation, time-periodic, |
| ISBN/ISSN/Other | ISSN: 1736-6046 |
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