On special properties of solutions to Camassa-Holm equation and related models
Abstract
We study unique continuation properties of solutions to the b-family of equations. This includes the Camassa-Holm and the Degasperi-Procesi models. We prove that for both, the initial value problem and the periodic boundary value problem, the unique continuation results found in LiPo are optimal. More precisely, the result established there for the constant c0=0 fails for any constant c0≠ 0.
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