Zobrazeno 1 - 10
of 278
pro vyhledávání: '"34b09"'
Autor:
Gontier, David, Tauber, Clément
We study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we present a novel proof of the periodic table of topological insulators in
Externí odkaz:
http://arxiv.org/abs/2412.15887
Autor:
Kajikiya, Ryuji, Takeuchi, Shingo
In the present paper, we study the first eigenvalue $\lambda(p)$ of the one-dimensional $p$-Laplacian in the interval $(-1,1)$. We give an upper and lower estimate of $\lambda(p)$ and study its asymptotic behavior as $p \to 1+0$ or $p \to \infty$.
Externí odkaz:
http://arxiv.org/abs/2412.04740
Autor:
Bondarenko, Natalia P.
In this paper, we prove the uniform stability of the Hochstadt-Lieberman problem, which consists in the recovery of the Sturm-Liouville potential on a half-interval from the spectrum and the known potential on the other half-interval. For this purpos
Externí odkaz:
http://arxiv.org/abs/2410.10326
Autor:
Bondarenko, Natalia P.
In this paper, we develop a new approach to investigation of the uniform stability for inverse spectral problems. We consider the non-self-adjoint Sturm-Liouville problem that consists in the recovery of the potential and the parameters of the bounda
Externí odkaz:
http://arxiv.org/abs/2409.16175
In the present paper, motivated by point interaction, we propose a new and explicit approach to inverse Sturm-Liouville eigenvalue problems under Dirichlet boundary. More precisely, when a given Sturm-Liouville eigenvalue problem with the unknown int
Externí odkaz:
http://arxiv.org/abs/2407.17223
In this paper we will study the set of parameters in which certain partial derivatives of the Green's function, related to a $n$-order linear operator $T_{n}[M]$, depending on a real parameter $M$, coupled to different two-point boundary conditions,
Externí odkaz:
http://arxiv.org/abs/2406.01509
Autor:
Cabada, Alberto, López-Somoza, Lucía
In this paper we obtain an explicit formula of the parameter dependence of the partial derivatives of the Green's functions related to two-point boundary conditions. Such expression follows as an integral of both kernels times the difference of the c
Externí odkaz:
http://arxiv.org/abs/2405.17320
Autor:
Harutyunyan, Tigran, Ashrafyan, Yuri
The main issues of the spectral theory of Dirac operators are presented, namely: transformation operators, asymptotics of eigenvalues and eigenfunctions, description of symmetric and self-adjoint operators in Hilbert space, expansion in eigenfunction
Externí odkaz:
http://arxiv.org/abs/2403.02761
Autor:
Tumanov, Sergey N.
The Molchanov's condition is a necessary condition for the compactness of the resolvent for a wide class of ordinary differential operators of arbitrary order, but for the Sturm-Liouville operator it is not sufficient, even if the real part of the po
Externí odkaz:
http://arxiv.org/abs/2402.10577
Autor:
Bondarenko, Natalia P.
In this paper, we revisit McLaughlin's inverse problem, which consists in the recovery of the fourth-order differential operator from the eigenvalues and two sequences of weight numbers. We for the first time prove the uniqueness for solution of this
Externí odkaz:
http://arxiv.org/abs/2312.15988