2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111494It is shown that a strong solution of the Camassa-Holm equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also decays exponentially at a later time. In particular, a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time unless it is the zero solution.Analysis of PDEsMathematical Physics35Q53text