Data di Pubblicazione:
2024
Citazione:
Almost Global Existence for Some Hamiltonian PDEs with Small Cauchy Data on General Tori / D. Bambusi, R. Feola, R. Montalto. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 405:1(2024), pp. 15.1-15.50. [10.1007/s00220-023-04899-z]
Abstract:
In this paper we prove a result of almost global existence for some abstract nonlinear PDEs on flat tori and apply it to some concrete equations, namely a nonlinear Schrödinger equation with a convolution potential, a beam equation and a quantum hydrodinamical equation. We also apply it to the stability of plane waves in NLS. The main point is that the abstract result is based on a nonresonance condition much weaker than the usual ones, which rely on the celebrated Bourgain’s Lemma which provides a partition of the “resonant sites” of the Laplace operator on irrational tori.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
D. Bambusi, R. Feola, R. Montalto
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