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BBM Equation Well-posedness Analysis by DAVID SALVADOR ALPALA CANACUAN is a document available to read on EtoBox.
What is BBM Equation Well-posedness Analysis about?
The document summarizes key results about the well-posedness of the initial value problem for the BBM equation. It is proven that: 1) The initial value problem is globally well-posed in the Sobolev space H^s for s ≥ 0. 2) The solution map that associates a solution to given initial data is smooth. 3) For s < 0, the solution map cannot even be C^2, so the initial value problem is not locally well-posed in H^s for negative s.
- Author
- DAVID SALVADOR ALPALA CANACUAN
- Language
- EN