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Global well-posedness and exponential stability for the fermion equation in weighted Sobolev spaces
<p style='text-indent:20px;'>This work deals with the Cauchy problem and the asymptotic behavior of the solution of the fermion equation in the Sobolev spaces with a polynomial weight in the torus. We first investigate the linearized equation and obtain the optimal exponential decay rate for the associated semigroup. Our strategy is …