Zobrazeno 1 - 10
of 97 219
pro vyhledávání: '"Steklov AS"'
Autor:
Basak, Sagar, Verma, Sheela
In this article, we study Steklov eigenvalues and mixed Steklov Neumann eigenvalues on a smooth bounded domain in $\mathbb{R}^{n}$, $n \geq 2$, having a spherical hole. We focus on two main results related to Steklov eigenvalues. First, we obtain exp
Externí odkaz:
http://arxiv.org/abs/2412.17124
Autor:
Wang, Xing, Zhang, Cheng
On smooth compact manifolds with smooth boundary, we first establish the sharp lower bounds for the restrictions of harmonic functions in terms of their frequency functions, by using a combination of microlocal analysis and frequency function techniq
Externí odkaz:
http://arxiv.org/abs/2412.13955
Autor:
Lin, Huiqiu, Zhao, Da
We study the maximal Steklov eigenvalues of trees with given number of boundary vertices and total number of vertices. Trees can be regarded as discrete analogue of Hadamard manifolds, namely simply-connected Riemannian manifolds of non-positive sect
Externí odkaz:
http://arxiv.org/abs/2412.12787
Autor:
He, Fei, Wang, Lihan
We study the counting function of Steklov eigenvalues on compact manifolds with boundary and obtain its upper bound involving the leading term of Weyl's law. Our estimate can be viewed as a weakened version of P\'{o}lya's Conjecture in the Steklov ca
Externí odkaz:
http://arxiv.org/abs/2411.07566
Autor:
Audet-Beaumont, Samuel
We construct surfaces with arbitrarily large multiplicity for their first non-zero Steklov eigenvalue. The proof is based on a technique by M. Burger and B. Colbois originally used to prove a similar result for the Laplacian spectrum. We start by con
Externí odkaz:
http://arxiv.org/abs/2412.07692
Let $\Delta$ and $B$ be the maximum vertex degree and a subset of vertices in a graph $G$ respectively. In this paper, we study the first (non-trivial) Steklov eigenvalue $\sigma_2$ of $G$ with boundary $B$. Using metrical deformation via flows, we f
Externí odkaz:
http://arxiv.org/abs/2410.22632
We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov opera
Externí odkaz:
http://arxiv.org/abs/2410.07462
Autor:
Venn, Daniel R., Ruuth, Steven J.
We present and study techniques for investigating the spectra of linear differential operators on surfaces and flat domains using symmetric meshfree methods: meshfree methods that arise from finding norm-minimizing Hermite-Birkhoff interpolants in a
Externí odkaz:
http://arxiv.org/abs/2410.04336
The present paper deals with construction of newly family of Neural Network operators, that is, Steklov Neural Network operators. By using Steklov type integral, we introduce a new version of Neural Network operators and we obtain some convergence th
Externí odkaz:
http://arxiv.org/abs/2410.01426
In this paper, we introduce Mellin-Steklov exponential samplingoperators of order $r,r\in\mathbb{N}$, by considering appropriate Mellin-Steklov integrals. We investigate the approximation properties of these operators in continuousbounded spaces and
Externí odkaz:
http://arxiv.org/abs/2410.09070