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A smoothing effect and polynomial growth of the Sobolev norms for the KP-II equation |
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| Authors: | J Pedro Isaza |
| Institution: | a Escuela de Matemáticas, Universidad Nacional de Colombia A.A. 3840 Medellín, Colombia b Université Lille I, 59 655 Villeneuve D’Ascq Cedex, France |
| Abstract: | We prove that the eventual growth in time of the Sobolev norms of the solutions of the KP-II equation is at most polynomial. |
| Keywords: | Nonlinear dispersive equations Global solutions |
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