Search results for "infinity"

Some notes on a superlinear second order Hamiltonian system

2016

Variational methods are used in order to establish the existence and the multiplicity of nontrivial periodic solutions of a second order dynamical system. The main results are obtained when the potential satisfies different superquadratic conditions at infinity. The particular case of equations with a concave-convex nonlinear term is covered.

Transformations by diagonal matrices in a normed space

1962

Asymptotic behaviors of solutions to quasilinear elliptic equations with Hardy potential

2016

Optimal estimates on asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations

On the Landis conjecture for the fractional Schrödinger equation

2023

In this paper, we study a Landis-type conjecture for the general fractional Schrödinger equation ((−P)s+q)u=0. As a byproduct, we also prove the additivity and boundedness of the linear operator (−P)s for non-smooth coefficents. For differentiable potentials q, if a solution decays at a rate exp (−∣x∣1+), then the solution vanishes identically. For non-differentiable potentials q, if a solution decays at a rate exp (−∣x∣4s−14s+), then the solution must again be trivial. The proof relies on delicate Carleman estimates. This study is an extension of the work by Rüland and Wang (2019). peerReviewed

The ends of manifolds with bounded geometry and linear growth

2004

We prove that simply connected open manifolds of bounded geometry, linear growth and sublinear filling growth (e.g. finite filling area) are simply connected at infinity.

Pseudoscalar Transition Form Factors from Rational Approximants

2014

The $\pi^0$, $\eta$, and $\eta^\prime$ transition form factors in the space-like region are analyzed at low and intermediate energies in a model-independent way through the use of rational approximants. Slope and curvature parameters as well as their values at infinity are extracted from experimental data. These results are suited for constraining hadronic models such as the ones used for the hadronic light-by-light scattering piece of the anomalous magnetic moment of the muon, and for the mixing parameters of the $\eta - \eta^\prime$ system.

La parola chiave «infinito» nello studio della natura sviluppato dai presocratici

2018

Il concetto di ‘infinito’ sta alla base della ‘fisiologia’, ovvero dell’indagine sulla Physis-Natura, sviluppata dai presocratici a partire dalla Scuola di Mileto sino alla Scuola di Abdera. Sia i primi pensatori della Ionia, a cominciare da Anassimandro, sia gli atomisti con a capo Democrito, infatti, hanno contribuito a elaborare la prima forma di ‘filosofia’ incentrata sulle parole chiave «infinito» e «finito». Alla luce di questi concetti, andrebbe allora rivisitata la filosofia del periodo ellenico ed ellenistico-romano per ritrovare le fondamenta della ‘scienza della natura’ nella sua duplice connotazione di fisica e di matematica. La diade infinito-finito, inoltre, potrebbe essere po…

Patterson–Sullivan and Bowen–Margulis Measures with Potential on CAT(–1) Spaces

2019

In this chapter, we discuss geometrically and dynamically relevant measures on the boundary at infinity of X and on the space of geodesic lines gX.

Waveguides. Radiation Principle. Scattering Matrices

2021

Chapter 2 exposes a mathematical model of a waveguide with several cylindrical ends going to infinity, basic notions and mathematical results (with complete proofs) needed in successive chapters: waves, continuous spectrum eigenfunctions, intrinsic radiation principle, and scattering matrices.

Itô calculus extended to systems driven by -stable Lévy white noises (a novel clip on the tails of Lévy motion)

2007

Abstract The paper deals with probabilistic characterization of the response of non-linear systems under α -stable Levy white noise input. It is shown that, by properly selecting a clip in the probability density function of the input, the moments of the increments of Levy motion process remain all of the same order ( d t ) , like the increments of the Compound Poisson process. It follows that the Ito calculus extended to Poissonian input, may also be used for α -stable Levy white noise input processes. It is also shown that, when the clip on the tails of the probability of the increments of the Levy motion approaches to infinity, the Einstein–Smoluchowsky equation is restored. Once these c…