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Well-posedness of Boussinesq Equation with Linear Restoring Force
We establish a local well-posedness theory for the $n-$dimensional Boussinesq equation with a linear restoring force in a modified Sobolev spaces $H_ω^s$ and Bourgain-type spaces $X_ω^{s,b}$, which are adapted to its modified dispersion relation. The restoring force introduces a new phase function w
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