We prove a $\langle t\rangle^\epsilon$ upper bound on the growth of Sobolev norms for all solutions of Schrodinger equations on flat tori with a Hamiltonian which is an unbounded time dependent perturbation of the Laplacian.
Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori / Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 318:(2022), pp. 344-358. [10.1016/j.jde.2022.02.024]
Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori
Langella, Beatrice;
2022-01-01
Abstract
We prove a $\langle t\rangle^\epsilon$ upper bound on the growth of Sobolev norms for all solutions of Schrodinger equations on flat tori with a Hamiltonian which is an unbounded time dependent perturbation of the Laplacian.File in questo prodotto:
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