Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Biagio Cassano"'
Publikováno v:
Mathematics in Engineering, Vol 4, Iss 6, Pp 1-10 (2022)
In this paper we investigate spectral properties of the damped elastic wave equation. Deducing a correspondence between the eigenvalue problem of this model and the one of Lamé operators with non self-adjoint perturbations, we provide quantitative b
Externí odkaz:
https://doaj.org/article/83e9b78c487d4a9fbbe2c17cb40a482c
Publikováno v:
Journal of Differential Equations. 298:528-559
This paper is devoted to providing quantitative bounds on the location of eigenvalues, both discrete and embedded, of non self-adjoint Lame operators of elasticity − Δ ⁎ + V in terms of suitable norms of the potential V. In particular, this allo
Publikováno v:
Annales Henri Poincaré. 21:2193-2217
We provide quantitative estimates on the location of eigenvalues of one-dimensional discrete Dirac operators with complex $$\ell ^p$$ -potentials for $$1\le p \le \infty $$ . As a corollary, subsets of the essential spectrum free of embedded eigenval
We investigate the validity of Gaussian lower bounds for solutions to an electromagnetic Schrödinger equation with a bounded time-dependent complex electric potential and a time-independent vector magnetic potential. We prove that, if a suitable geo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e851a7042203d5ff8487ffd48befebd6
http://hdl.handle.net/11591/461289
http://hdl.handle.net/11591/461289
Publikováno v:
BIRD: BCAM's Institutional Repository Data
instname
instname
We prove a sharp Hardy-type inequality for the Dirac operator. We exploit this inequality to obtain spectral properties of the Dirac operator perturbed with Hermitian matrix-valued potentials $${\mathbf {V}}$$ of Coulomb type: we characterise its eig
Publikováno v:
Journal of Mathematical Physics. 63:071503
We investigate the properties of self-adjointness of a two-dimensional Dirac operator on an infinite sector with infinite mass boundary conditions and in the presence of a Coulomb-type potential with the singularity placed on the vertex. In the gener
In this work we consider the two-dimensional Dirac operator with general local singular interactions supported on a closed curve. A systematic study of the interaction is performed by decomposing it into a linear combination of four elementary intera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac17c31b6d91157b5ed7fe898beb74cb
http://arxiv.org/abs/2102.09988
http://arxiv.org/abs/2102.09988
We investigate Hardy-Rellich inequalities for perturbed Laplacians. In particular, we show that a non-trivial angular perturbation of the free operator typically improves the inequality, and may also provide an estimate which does not hold in the fre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb01946b4f3f3e0c0091b7982bf9dee3
Autor:
Vladimir Lotoreichik, Biagio Cassano
We consider the four-component two-valley Dirac operator on a wedge in $\mathbb{R}^2$ with infinite mass boundary conditions, which enjoy a flip at the vertex. We show that it has deficiency indices $(1,1)$ and we parametrize all its self-adjoint ext
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1d6a686f2725776d32ecb2d9a5ed55e
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 33:309-328
In this paper we consider a family of quasi-static evolution problems involving oscillating energies E e and dissipations D e . Even though we have separate Γ-convergence of E e and D e , the Γ-limit F of the sum does not agree with the sum of the