4 citations · 5 across the 5 of their papers we have counts for
5 papers
Degeneration of the spectral gap with negative Robin parameter
Derek Kielty
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…
Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials
Mark S. Ashbaugh, Derek Kielty
We prove sharp lower bounds on the spectral gap of 1-dimensional Schrödinger operators with Robin boundary conditions for each value of the Robin parameter. In particular, our lowe…
A moment inequality and positivity for signed graph Laplacians
Ikemefuna Agbanusi, Jared C. Bronski, Derek Kielty
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…
Singular limits of sign-changing weighted eigenproblems
Derek Kielty
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 r…
Stabilization by Noise of a -Valued Coupled System
Joe P. Chen, Lance Ford, Derek Kielty +4
Recently Herzog and Mattingly have shown that a -valued polynomial ODE which admits finite-time blow-up solutions may be stabilized by the addition of -valu…