We prove a (t)(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 Schrodinger equation on flat tori / D.P. Bambusi, B. Langella, R. Montalto. - 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 Schrodinger equation on flat tori
D.P. Bambusi
Primo
;R. MontaltoUltimo
2022
Abstract
We prove a (t)(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.
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