Rate My Professor Daniel Daners

Daners' research specializes in partial differential equations, with particular emphasis on elliptic and parabolic boundary value problems, dynamical systems, analytic semigroup theory, and operator theory. He co-authored the book Abstract evolution equations, periodic problems and applications (Longman Scientific & Technical, 1992, with Pablo Koch Medina) and contributed the chapter Domain perturbation for linear and semi-linear boundary value problems to the Handbook of Differential Equations: Stationary Partial Differential Equations, Vol. 6 (Elsevier, 2008). Key publications include A Faber-Krahn inequality for Robin problems in any space dimension (Mathematische Annalen, 2006), Robin boundary value problems on arbitrary domains (Transactions of the AMS, 2000), Dirichlet problems on varying domains (Journal of Differential Equations, 2003), and Heat kernel estimates for operators with boundary conditions (Mathematische Nachrichten, 2000). More recent works address topics like eventually positive semigroups, logistic growth in seasonally changing environments (Journal of Evolution Equations, 2025), and semilinear elliptic equations on rough domains (Journal of Differential Equations, 2023). Daners has supervised four PhD students at the University of Sydney: James Kennedy (2010), Parinya Sa Ngiamsunthorn (2011), Jonathan Mui (2023), and Zeaiter Zeaiter (2024). He has organized numerous events, including the 57th Annual Meeting of the Australian Mathematical Society, the Tohoku-Sydney Workshop on nonlinear PDEs (2012), and special sessions at various conventions.