Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
Abstract : We present Strichartz estimates for a Dirac operator with a potential and other estimates of the same type in weighted $L^2$ spaces. Then we study a class of nonlinear Dirac equations associated with a Dirac operator having only one double eigenvalue. We build a small manifold of stationary solutions and, as an application of our decay estimates, we state a theorem on the asymptotic stability of these solutions.
A stability result for small stationary solutions of a class of nonlinear Dirac equations
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