Abstract
In this paper, we propose a new representation of the solution to higher-order dispersive equations (which include the free Schrodinger equation and the Airy equation) by using the short-time Fourier transform. As its application, we give $M^{p,q}$-$M^{p,q}_s$, $M^{p,q}$-$M^{p^\prime,q}$ and Strichartz type estimates for the solutions in the framework of the modulation spaces $M^{p,q}_s$.
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