A geometrical demonstration for continuation of solutions of the generalised BBM equation

Abstract

A simple proof that if the generalised BBM equation has a solution vanishing on an open sent of its domain then the solution is necessarily zero is given. In particular, the only compactly supported solution of the equation under consideration is the identically vanishing one.

References in corpus (2)

• Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation
• Conserved quantities, continuation and compactly supported solutions of some shallow water models

Cited by in corpus (4)

• Conserved quantities, continuation and compactly supported solutions of some shallow water models
• Existence, continuation, persistence and dynamics of solutions for a generalized 0-Holm-Staley equation
• Geometrical demonstration for persistence properties for a bi-Hamiltonian shallow water system
• Persistence properties of a Camassa-Holm type equation with $(n+1)-$order non-linearities