Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 34-41 |
| Journal | Proceedings of the Estonian Academy of Sciences |
| Volume | 59 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2010 |
Subject classification (UKÄ)
- Mathematical Sciences
Free keywords
- Sobolev spaces
- distributions
- periodic solutions
- Burgers' equation
- time-periodic