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pro vyhledávání: '"Hassannezhad, Asma"'
We obtain geometric lower bounds for the low Steklov eigenvalues of finite-volume hyperbolic surfaces with geodesic boundary. The bounds we obtain depend on the length of a shortest multi-geodesic disconnecting the surfaces into connected components
Externí odkaz:
http://arxiv.org/abs/2408.04534
We consider the Steklov eigenvalue problem on a compact pinched negatively curved manifold $M$ of dimension at least three with totally geodesic boundaries. We obtain a geometric lower bound for the first nonzero Steklov eigenvalue in terms of the to
Externí odkaz:
http://arxiv.org/abs/2312.12180
Autor:
Hassannezhad, Asma, Sher, David
We prove an improved Pleijel nodal domain theorem for the Robin eigenvalue problem. In particular we remove the restriction, imposed in previous work, that the Robin parameter be non-negative. We also improve the upper bound in the statement of the P
Externí odkaz:
http://arxiv.org/abs/2303.08094
Autor:
Arias-Marco, Teresa, Dryden, Emily B., Gordon, Carolyn S., Hassannezhad, Asma, Ray, Allie, Stanhope, Elizabeth
We consider three different questions related to the Steklov and mixed Steklov problems on surfaces. These questions are connected by the techniques that we use to study them, which exploit symmetry in various ways even though the surfaces we study d
Externí odkaz:
http://arxiv.org/abs/2301.09010
Autor:
Hassannezhad, Asma, Sher, David
We consider Dirichlet-to-Neumann operators associated to $\Delta+q$ on a Lipschitz domain in a smooth manifold, where $q$ is an $L^{\infty}$ potential. We prove a Courant-type bound for the nodal count of the extensions $u_k$ of the $k$th Dirichlet-t
Externí odkaz:
http://arxiv.org/abs/2107.03370
Autor:
Arias-Marco, Teresa, Dryden, Emily B., Gordon, Carolyn S., Hassannezhad, Asma, Ray, Allie, Stanhope, Elizabeth
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 June 2024 534(2)
Autor:
Hassannezhad, Asma, Siffert, Anna
We initiate the study of the higher-order Escobar constants $I_k(M)$, $k\geq 3$, on bounded planar domains $M$. The Escobar constants $I_k$ of the unit disk and a family of polygons are provided.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/1905.07634
Given two compact Riemannian manifolds with boundary $M_1$ and $M_2$ such that their respective boundaries $\Sigma_1$ and $\Sigma_2$ admit neighborhoods $\Omega_1$ and $\Omega_2$ which are isometric, we prove the existence of a constant $C$, which de
Externí odkaz:
http://arxiv.org/abs/1810.00711
Akademický článek
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Autor:
Hassannezhad, Asma, Laptev, Ari
We study bounds on the Riesz means of the mixed Steklov-Neumann and Steklov-Dirichlet eigenvalue problem on a bounded domain $\Omega$ in $\mathbb{R}^n$. The Steklov-Neumann eigenvalue problem is also called the sloshing problem. We obtain two-term as
Externí odkaz:
http://arxiv.org/abs/1712.00753