Results 81 to 90 of about 7,103 (240)
Quantum Information Measures of a Dirichlet Waveguide with Neumann Window(s)
Advanced Quantum Technologies, Volume 9, Issue 6, June 2026.ABSTRACT Engineering boundary conditions in low‐dimensional structures provides a simple yet powerful way of shaping how quantum information is stored and transported. We investigate a flat 2D Dirichlet waveguide containing one or two finite Neumann windows and compute the bound states in both position and momentum space as functions of the window ...
Firoz Chogle, Berihu Teklu
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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
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Journal of Biogeography, Volume 53, Issue 6, June 2026.ABSTRACT Aim Beta diversity analyses clarify mechanisms structuring ecological communities, but their multidimensional facets remain poorly explored in arthropods. Here, we quantified taxonomic, phylogenetic, and functional beta diversity in scorpions, partitioned these facets into species replacement and richness differences, and evaluated the ...
Stênio Ítalo Araújo Foerster +1 more
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Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone +2 more
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MATEC Web of Conferences, 2017 The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I. +2 more
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Rigidity of balls in the solid mean value property for polyharmonic functions
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We show that balls are the only open bounded domains for which the mean value formula for polyharmonic functions holds. We do so by adapting an argument of Ü. Kuran for harmonic functions. We also, provide a quantitative version of the same result.
Nicola Abatangelo
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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
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Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
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Asymptotics of the spectrum of inhomogeneous plate with light-weight stiff inclusions(in Ukrainian) [PDF]
Математичні Студії, 2013 The Dirichlet spectral problem for an elliptic operator of the fourthorder with singularly perturbed coefficients is considered.The problem describes the eigenmodes of a plate with finite number ofthe stiff and light-weight inclusions of an arbitrary ...
V. M. Hut, Yu. D. Golovaty
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
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