Results 51 to 60 of about 78,190 (190)
Minimal supports of eigenfunctions of Hamming graphs [PDF]
arXiv, 2015 We find minimal supports of eigenfunctions of Hamming graphs for eigenvalue n(q-1)-q and describe eigenfunctions with minimal support.
arxiv
The Shape of the Level Sets of the First Eigenfunction of a Class of Two Dimensional Schr\"odinger Operators [PDF]
, 2014 We study the first Dirichlet eigenfunction of a class of Schr\"odinger operators with a convex potential V on a domain $\Omega$. We find two length scales $L_1$ and $L_2$, and an orientation of the domain $\Omega$, which determine the shape of the level ...
Beck, Thomas
core
Lichnerowicz Modes and Black Hole Families in Ricci Quadratic Gravity
, 2017 A new branch of black hole solutions occurs along with the standard Schwarzschild branch in $n$-dimensional extensions of general relativity including terms quadratic in the Ricci tensor.
Lu, H. +3 more
core +1 more source
A boundary value problem for the wave equation
International Journal of Mathematics and Mathematical Sciences, 1999 Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate
Nezam Iraniparast
doaj +1 more source
Ground State for the Schrödinger Operator with the Weighted Hardy Potential
International Journal of Differential Equations, 2011 We establish the existence of ground states on ℝ𝑁 for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a
J. Chabrowski, K. Tintarev
doaj +1 more source
On the Weak Localization Principle of the Eigenfunction Expansions of the Laplace-Beltrami Operator by Riesz Method [PDF]
, 2015 In this paper we deal with the problems of the weak localization of the eigenfunction expansions related to Laplace-Beltrami operator on unit sphere. The conditions for weak localization of Fourier-Laplace series are investigated by comparing the Riesz ...
Ahmedov, Anvarjon +1 more
core +1 more source
One Radius Theorem For A Radial Eigenfunction Of A Hyperbolic Laplacian [PDF]
arXiv, 2014 Let us fix two different radial eigenfunctions of a hyperbolic Laplacian and assume that both of them have the same value at the origin. Both eigenvalues can be complex numbers. The main goal of this paper is to estimate the lower bound for the interval (0,T], where these two eigenfunctions must assume different values at every point. We shall see that
arxiv
Error investigation of finite element approximation for a nonlinear Sturm–Liouville problem
Учёные записки Казанского университета: Серия Физико-математические науки, 2017 A positive definite differential eigenvalue problem with coefficients depending nonlinearly on the spectral parameter has been studied. The differential eigenvalue problem is formulated as a variational eigenvalue problem in a Hilbert space with bilinear
A.A. Samsonov +2 more
doaj
Uniform level set estimates for ground state eigenfunctions [PDF]
arXiv, 2017 We study the behaviour of the first eigenfunction of the Dirichlet Laplacian on a planar convex domain near its maximum. We show that the eccentricity and orientation of the superlevel sets of the eigenfunction stabilise as they approach the maximum, uniformly with respect to the eccentricity of the domain itself.
arxiv
Nodal sets of Robin and Neumann eigenfunctions [PDF]
arXiv, 2018 We investigate the measure of nodal sets for Robin and Neumann eigenfunctions in the domain and on the boundary of the domain. A polynomial upper bound for the interior nodal sets is obtained for Robin eigenfunctions in the smooth domain. For the analytic domain, the sharp upper bounds of the interior nodal sets was shown for Robin eigenfunctions. More
arxiv