Abstract
This paper establishes the global existence of weak solutions to the Burgers-Hilbert equation, for general initial data in L2 (ℝ). For positive times, the solution lies in L2 ∩ L∞ . A partial uniqueness result is proved for spatially periodic solutions, as long as the total variation remains locally bounded.
Original language | English (US) |
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Pages (from-to) | 2884-2904 |
Number of pages | 21 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 46 |
Issue number | 4 |
DOIs | |
State | Published - 2014 |
All Science Journal Classification (ASJC) codes
- Analysis
- Computational Mathematics
- Applied Mathematics