Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Ferraresso, Francesco"'
We analyse how the spectrum of the anisotropic Maxwell system with bounded conductivity on a Lipschitz domain is approximated by domain truncation. First we prove a new non-convex enclosure for the spectrum of the Maxwell system, with weak assumption
Externí odkaz:
http://arxiv.org/abs/2208.13089
Autor:
Ferraresso, Francesco, Marletta, Marco
We establish spectral enclosures and spectral approximation results for the inhomogeneous lossy Drude-Lorentz system with purely imaginary poles, in a possibly unbounded Lipschitz domain of $\mathbb{R}^3$. Under the assumption that the coefficients $
Externí odkaz:
http://arxiv.org/abs/2206.07644
After presenting various concepts and results concerning the classical Steklov eigenproblem, we focus on analogous problems for time-harmonic Maxwell's equations in a cavity. In this direction, we discuss recent rigorous results concerning natural St
Externí odkaz:
http://arxiv.org/abs/2206.00505
Autor:
Ferraresso, Francesco
We define the weak intermediate boundary conditions for the triharmonic operator $- \Delta^3$. We analyse the sensitivity of this type of boundary conditions upon domain perturbations. We construct a perturbation $(\Omega_\epsilon)_{\epsilon > 0}$ of
Externí odkaz:
http://arxiv.org/abs/2201.07636
Let $\Omega$ be a bounded domain in $\mathbb R^2$ with smooth boundary $\partial\Omega$, and let $\omega_h$ be the set of points in $\Omega$ whose distance from the boundary is smaller than $h$. We prove that the eigenvalues of the biharmonic operato
Externí odkaz:
http://arxiv.org/abs/2108.03969
Publikováno v:
Integr. Equ. Oper. Theory (2019) 91: 55
We analyse the spectral convergence of high order elliptic differential operators subject to singular domain perturbations and homogeneous boundary conditions of intermediate type. We identify sharp assumptions on the domain perturbations improving,
Externí odkaz:
http://arxiv.org/abs/1911.10965
We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a planar dumbbell domain which consists of two disjoint domains connected by a thin channel. We analyse the spectral behaviour of the operator, characte
Externí odkaz:
http://arxiv.org/abs/1707.06094
We consider the triharmonic operator subject to homogeneous boundary conditions of intermediate type on a bounded domain of the N-dimensional Euclidean space. We study its spectral behaviour when the boundary of the domain undergoes a perturbation of
Externí odkaz:
http://arxiv.org/abs/1606.02961
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