Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Kielty, Derek"'
Autor:
Kielty, Derek
The spectral gap of the Neumann and Dirichlet Laplacians are each known to have a sharp positive lower bound among convex domains of a given diameter. Between these cases, for each positive value of the Robin parameter an analogous sharp lower bound
Externí odkaz:
http://arxiv.org/abs/2105.02323
Autor:
Ashbaugh, Mark S., Kielty, Derek
We prove sharp lower bounds on the spectral gap of 1-dimensional Schr\"odinger operators with Robin boundary conditions for each value of the Robin parameter. In particular, our lower bounds apply to single-well potentials with a centered transition
Externí odkaz:
http://arxiv.org/abs/2006.00308
A number of recent papers have considered signed graph Laplacians, a generalization of the classical graph Laplacian, where the edge weights are allowed to take either sign. In the classical case, where the edge weights are all positive, the Laplacia
Externí odkaz:
http://arxiv.org/abs/2005.09608
Autor:
Kielty, Derek
Consider the eigenvalue problem generated by a fixed differential operator with a sign-changing weight on the eigenvalue term. We prove that as the negative part of the weight is rescaled towards negative infinity on some subregion, the spectrum conv
Externí odkaz:
http://arxiv.org/abs/1812.03617
Autor:
Kielty, Derek1 (AUTHOR) derekkielty3@gmail.com
Publikováno v:
Mathematische Nachrichten. Nov2023, Vol. 296 Issue 11, p5305-5321. 17p.
Autor:
Chen, Joe P., Ford, Lance, Kielty, Derek, Majumdar, Rajeshwari, McCain, Heather, O'Connell, Dylan, Shum, Fan Ny
Publikováno v:
Stochastics and Dynamics, Vol. 17, No. 6 (2017) 1750046
Recently Herzog and Mattingly have shown that a $\mathbb{C}$-valued polynomial ODE which admits finite-time blow-up solutions may be stabilized by the addition of $\mathbb{C}$-valued Brownian noise. In this paper we extend their problem to a $\mathbb
Externí odkaz:
http://arxiv.org/abs/1510.09221
Autor:
Kielty, Derek1 (AUTHOR) dkielty2@illinois.edu
Publikováno v:
Asymptotic Analysis. 2021, Vol. 122 Issue 1/2, p165-200. 36p.
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Autor:
Chen, Joe P., Ford, Lance, Kielty, Derek, Majumdar, Rajeshwari, McCain, Heather, O'Connell, Dylan, Shum, Fan Ny
Publikováno v:
Stochastics & Dynamics; Dec2017, Vol. 17 Issue 6, p-1, 22p