نتایج جستجو برای: eigenfunction

تعداد نتایج: 1523  

Journal: :Journal of Physics: Conference Series 2013

Journal: :Communications on Pure and Applied Analysis 2023

In the present paper, we study properties of second Dirichlet eigenvalue fractional Laplacian annuli-like domains and corresponding eigenfunctions. first part, consider an annulus with inner radius $ R outer R+1 $. We show that for sufficiently large any eigenfunction this is nonradial. investigate in form B_1(0)\setminus \overline{B_{\tau}(a)} $, where a unitary ball 0<\tau<1-|a| value m...

2016
Zhi-jun Dai Jinzhou Du Zhi-Jun Dai Ji-Yu Chen Jin-Zhou Du Chun-Chu Li

DAI, Z.-J.; CHEN, J.-Y.; DU, J.-Z., and LI, C.-C., 2008. Seasonal changes of sandbar behavior in Nanwan Beach, South China. Journal of Coastal Research, 24(5), 1209–1216. West Palm Beach (Florida), ISSN 0749-0208. Frequent leveling data of beach profiles is collected from Nanwan Beach, which is characterized by a large seasonal variation in wave climate. Variability of the bar crest position ob...

2012
Bruno Nachtergaele Robert Sims Günter Stolz

We study many-body properties of quantum harmonic oscillator lattices with disorder. A sufficient condition for dynamical localization, expressed as a zero-velocity LiebRobinson bound, is formulated in terms of the decay of the eigenfunction correlators for an effective one-particle Hamiltonian. We show how state-of-the-art techniques for proving Anderson localization can be used to prove that ...

1991
Andrew Duggleby Kenneth S. Ball Mark R. Paul Paul F. Fischer

The results of an analysis of turbulent pipe flow based on a Karhunen-Loève decomposition are presented. The turbulent flow is generated by a direct numerical simulation of the Navier-Stokes equations using a spectral element algorithm at a Reynolds number Reτ = 150. This simulation yields a set of basis functions that captures 90% of the energy after 2,453 modes. The eigenfunctions are categor...

Journal: :CoRR 2016
Jonathan Bates

Any closed, connected Riemannian manifold M can be smoothly embedded by its Laplacian eigenfunction maps into Rm for some m. We call the smallest such m the maximal embedding dimension of M. We show that the maximal embedding dimension of M is bounded from above by a constant depending only on the dimension of M, a lower bound for injectivity radius, a lower bound for Ricci curvature, and a vol...

2005
P. Juutinen

We consider the p-Laplacian operator on a domain equipped with a Finsler metric. We recall relevant properties of its first eigenfunction for finite p and investigate the limit problem as p →∞.

2006
B. Kawohl M. Novaga Thomas Lachand-Robert

We consider the p–Laplacian operator on a domain equipped with a Finsler metric. After deriving and recalling relevant properties of its first eigenfunction for p > 1, we investigate the limit problem as p → 1.

2011
MATILDE MARCOLLI

In this paper we construct a version of Ricci flow for noncommutative 2-tori, based on a spectral formulation in terms of the eigenvalues and eigenfunction of the Laplacian and recent results on the Gauss–Bonnet theorem for noncommutative tori.

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