Zobrazeno 1 - 10
of 157
pro vyhledávání: '"Procesi, Michela"'
We study the existence of infinite-dimensional invariant tori in a mechanical system of infinitely many rotators weakly interacting with each other. We consider explicitly interactions depending only on the angles, with the aim of discussing in a sim
Externí odkaz:
http://arxiv.org/abs/2404.09025
We prove that all the solutions of a quasi-periodically forced linear Klein-Gordon equation $\psi_{tt}-\psi_{xx}+\mathtt{m}\psi+Q(\omega t)\psi=0 $ where $ Q(\omega t) := a^{(2)}(\omega t, x) \partial_{xx} + a^{(1)}(\omega t, x)\partial_x + a^{(0)}(\
Externí odkaz:
http://arxiv.org/abs/2402.11377
We consider the one-dimensional NLS equation with a convolution potential and a quintic nonlinearity. We prove that, for most choices of potentials with polynomially decreasing Fourier coefficients, there exist almost-periodic solutions in the Gevrey
Externí odkaz:
http://arxiv.org/abs/2309.14276
Motivated by the problem of long time stability vs. instability of KAM tori of the Nonlinear cubic Schr\"odinger equation (NLS) on the two dimensional torus $\mathbb T^2:= (\mathbb R/2\pi \mathbb Z)^2$, we consider a quasi-periodically forced NLS equ
Externí odkaz:
http://arxiv.org/abs/2208.02040
Autor:
Procesi, Michela, Stolovitch, Laurent
This article is concerned with analytic Hamiltonian dynamical systems in infinite dimension in a neighborhood of an elliptic fixed point. Given a quadratic Hamiltonian, we consider the set of its analytic higher order perturbations. We first define t
Externí odkaz:
http://arxiv.org/abs/2108.00060
All the almost periodic solutions for non integrable PDEs found in the literature are very regular (at least $C^\infty$) and, hence, very close to quasi periodic ones. This fact is deeply exploited in the existing proofs. Proving the existence of alm
Externí odkaz:
http://arxiv.org/abs/2106.00499
We discuss a method for the construction of almost periodic solutions of the one dimensional analytic NLS with only Sobolev regularity both in time and space. This is the first result of this kind for PDEs.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/2009.04312
We prove the existence of almost-periodic solutions for quasi-linear perturbations of the Airy equation. This is the first result about the existence of this type of solutions for a quasi-linear PDE. The solutions turn out to be analytic in time and
Externí odkaz:
http://arxiv.org/abs/2006.00313
Autor:
Montalto, Riccardo, Procesi, Michela
We study the reducibility of a Linear Schr\"odinger equation subject to a small unbounded almost-periodic perturbation which is analytic in time and space. Under appropriate assumptions on the smallness, analiticity and on the frequency of the almost
Externí odkaz:
http://arxiv.org/abs/1910.12300
In this paper we study the existence and linear stability of almost periodic solutions for a NLS equation on the circle with external parameters. Starting from the seminal result of Bourgain (2005) on the quintic NLS, we propose a novel approach allo
Externí odkaz:
http://arxiv.org/abs/1903.07576