Abstract
The Cauchy problem for the “good” Boussinesq equation with data in analytic Gevrey spaces on the line and the circle is considered and its local well-posedness in these spaces is proved. The proof is based on bilinear estimates in Bourgain type spaces incorporating the symbol of the linear part of the equation and an exponential weight expressing the analytic Gevrey regularity of the solution in the spatial variable. Also, Gevrey regularity of the solution in time variable is provided.
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