Remark on the well-posedness of weakly dispersive equations
Résumé
We improve the results about the well-posedness of the regularized fractional dispersive equation (1 + D x α ) u t + u x + uu x = 0 when 0 < α ≤ 1. When #x03B1; < 1, the existence and uniqueness of vanishing viscosity solution is proved.
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