Results 91 to 100 of about 147,544 (216)

A note on the persistence of multiplicity of eigenvalues of fractional Laplacian under perturbations [PDF]

arXiv
We consider the eigenvalues problem for the the fractional Laplacian in a bounded domain Omega with Dirichlet boundary condition. A recent result by Fall, Ghimenti, Micheletti and Pistoia (CVPDE (2023)) states that under generic small perturbations of the coefficient of the equation or of the domain Omega all the eigenvalues are simple.
arxiv  

PT symmetry and Weyl asymptotics [PDF]

arXiv, 2011
For a class of PT-symmetric operators with small random perturbations, the eigenvalues obey Weyl asymptotics with probability close to 1. Consequently, when the principal symbol is non-real, there are many non-real eigenvalues.
arxiv  

Perturbation and interlace theorems for the unitary eigenvalue problem [PDF]

, 1993
L. Elsner, Chunyang He
openalex   +1 more source

Graph-theoretical approach to the eigenvalue spectrum of perturbed higher-order exceptional points [PDF]

arXiv
Exceptional points are special degeneracy points in parameter space that can arise in (effective) non-Hermitian Hamiltonians describing open quantum and wave systems. At an n-th order exceptional point, n eigenvalues and the corresponding eigenvectors simultaneously coalesce.
arxiv  

Spectral stability of undercompressive shock profile solutions of a modified KdV-Burgers equation

Electronic Journal of Differential Equations, 2007
It is shown that certain undercompressive shock profile solutions of the modified Korteweg-de Vries-Burgers equation $$ partial_t u + partial_x(u^3) = partial_x^3 u + alpha partial_x^2 u, quad alpha geq 0 $$ are spectrally stable when $alpha$ is ...
Jeff Dodd
doaj  

Perturbations of symmetric constraints in eigenvalue problems for variational inequalities [PDF]

, 1996
Sergio Lancelotti
openalex   +1 more source

Second Order Eigensensitivities of Singularly Perturbed Systems

Journal of King Saud University: Engineering Sciences, 1994
In this paper, second order eigenvalue sensitivities are derived with respect to the singular perturbation parameter whose variation changes the reduced system order.
Zaglol S. Elrazaz, Awadh A. Al-Digs
doaj  

Existence and perturbation of principal eigenvalues for a periodic-parabolic problem

Electronic Journal of Differential Equations, 2000
We give a necessary and sufficient condition for the existence of a positive principal eigenvalue for a periodic-parabolic problem with indefinite weight function.
Daniel Daners
doaj  

Eigenvalue Problem Describing Magnetorotational Instability in Outer Regions of Galaxies

Mathematics
The existence of magnetic fields in spiral galaxies is beyond doubt and is confirmed by both observational data and theoretical models. Their generation occurs due to the dynamo mechanism action associated with the properties of turbulence.
Evgeny Mikhailov, Tatiana Khasaeva
doaj   +1 more source

Perturbation of embedded eigenvalues [PDF]

Bulletin of the American Mathematical Society, 1972
openaire   +3 more sources