Recovery of the absorption coefficient in radiative transport from a single measurement [PDF]
, 2015 In this paper, we investigate the recovery of the absorption coefficient from boundary data assuming that the region of interest is illuminated at an initial time.
Acosta, Sebastian
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Asymptotic behaviour of the inductance coefficient for thin conductors [PDF]
, 2002 We study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$.
Amirat, Youcef, Touzani, Rachid
core +4 more sources
Analytical results for 2-D non-rectilinear waveguides based on the Green's function [PDF]
, 2007 We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem and prove the existence of a solution for the case of small imperfections.
Ciraolo, Giulio, Magnanini, Rolando
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Uncountably Many Solutions for Nonlinear Helmholtz and Curl-Curl Equations
Advanced Nonlinear Studies, 2019 We obtain uncountably many solutions of nonlinear Helmholtz and curl-curl equations on the entire space using a fixed point approach. The constructed solutions are mildly localized as they lie in the essential spectrum of the corresponding linear ...
Mandel Rainer
doaj +1 more source
Comparison of linear and non-linear monotononicity-based shape reconstruction using exact matrix characterizations [PDF]
, 2017 Detecting inhomogeneities in the electrical conductivity is a special case of the inverse problem in electrical impedance tomography, that leads to fast direct reconstruction methods.
Garde, Henrik
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Curvature stabilized skyrmions with angular momentum
, 2019 We examine skyrmionic field configurations on a spherical ferromagnet with large normal anisotropy. Exploiting variational concepts of angular momentum we find a new family of localized solutions to the Landau-Lifshitz equation that are topologically ...
Melcher, Christof, Sakellaris, Zisis N.
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Edge-promoting reconstruction of absorption and diffusivity in optical tomography [PDF]
, 2015 In optical tomography a physical body is illuminated with near-infrared light and the resulting outward photon flux is measured at the object boundary. The goal is to reconstruct internal optical properties of the body, such as absorption and diffusivity.
Hannukainen, Antti +3 more
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Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
, 2018 It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole $a\neq 0$
Abatangelo, Laura
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Klein-Gordon-Maxwell System in a bounded domain
, 2008 This paper is concerned with the Klein-Gordon-Maxwell system in a bounded spatial domain. We discuss the existence of standing waves $\psi=u(x)e^{-i\omega t}$ in equilibrium with a purely electrostatic field $\mathbf{E}=-\nabla\phi(x)$.
d'Avenia, Pietro +2 more
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Klein–Gordon–Maxwell Systems with Nonconstant Coupling Coefficient
Advanced Nonlinear Studies, 2018 We study a Klein–Gordon–Maxwell system in a bounded spatial domain under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many static solutions.
Lazzo Monica, Pisani Lorenzo
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