Christian Hong, Felipe Linares, Gustavo Ponce
Published 2024-05-14Version 1
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 \cite{LiPo} are optimal. More precisely, the result established there for the constant $c_0=0$ fails for any constant $c_0\neq 0$.
On Special Properties of Solutions to the Benjamin-Bona-Mahony Equation
Factorization Problem on the Hilbert-Schmidt Group and the Camassa-Holm Equation
Sharp regularity of gradient blow-up solutions in the Camassa-Holm equation
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