On the support of solutions to the Ostrovsky equation with positive dispersion Original Research Article

In this paper we prove that sufficiently smooth solutions of the Ostrovsky equation with positive dispersion, View the MathML source∂tu+∂x3u+∂x−1u+u∂xu=0, Turn MathJax on that have exponential decay for x>0x>0 and such that their supports for two different times are contained in an interval (−∞,B](−∞,B], are identically zero.