ABSTRACT
It is shown that the uniform radius of spatial analyticity of solutions at time t to the Ostrovsky equation with positive dispersion cannot decay faster than as given initial data that is analytic with fixed radius . The main ingredients in the proof are almost conservation law for the solution to the Ostrovsky equation in space of analytic functions and space-time dyadic bilinear estimates associated with the Ostrovsky equation.
Disclosure statement
No potential conflict of interest was reported by the author(s).