Lower Bounds on the Radius of Spatial Analyticity for the Kawahara Equation

In this paper we obtain lower bounds on the radius of spatial analyticity of solutions to the Kawahara equation ut+uux+alpha uxxx+beta uxxxxx=0, beta not equal 0, given initial data which is analytic with a fixed radius. It is shown that the uniform radius of spatial analyticity of solutions at later time t can decay no faster than 1/|t| as |t|-> infinity.