Research Interests
Partial differential equations and spectral theory
Highlighted Publications
Journal Articles
Kielty, Derek. "Degeneration of the spectral gap with negative Robin parameter." 2021, p. 14. arXiv:2105.02323
Ashbaugh, Mark, and Derek Kielty. "Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials." Journal of Mathematical Physics, 2020. p. 16. Article. arXiv:2006.00308.
Agbanusi, Ikemefuna, Jared Bronski, and Derek Kielty. "A moment inequality and positivity for signed graph Laplacians." Submitted, 2020, p. 9. arXiv:2005.09608.
Kielty, Derek. "Singular limits of sign-changing weighted eigenproblems." Asymptotic Analysis, 2020, p. 36. Article. arXiv:1812.03617.
Chen, Joe, Lance Ford, Derek Kielty, Rajeshwari Majumdar, Heather McCain, Dylan O'Connell, and Fan Ny Shum. "Stabilization by noise of a C^2-valued coupled system." Stochastics and Dynamics, vol. 17, no. 06, 2017, p. 22. Article. arXiv:1510.09221.