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
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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