Growth of Sobolev norms of solutions of linear Schrödinger equations on some compact manifolds
Résumé
We give a new proof of a theorem of Bourgain, asserting that solutions of linear Schrödinger equations on the torus, with smooth time dependent potential, have Sobolev norms growing at most like $t^\epsilon$ when $t\to +\infty$, for any $\epsilon>0$. Our proof extends to Schrödinger equations on other examples of compact riemannian manifolds.
| Origine | Fichiers produits par l'(les) auteur(s) |
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