Daniel Daners: Personal Front Page

General Information

I am a Senior Lecturer in the School of Mathematics and Statistics at The University of Sydney.

Contact Information

Dr. Daniel Daners School of Mathematics and Statistics F07 The University of Sydney, NSW 2006 Australia   Office: Carslaw Building Room 715 Phone: +61 2 9351 2966 Fax: +61 2 9351 4534 Email: D.Daners@maths.usyd.edu.au

Research

I am a member of the Nonlinear Analysis Group. My interests are partial differential equations (particularly elliptic and parabolic boundary value problems), dynamical systems, analytic semigroup theory, operator theory.

Professional Activities

• Organiser of special ession at the 7th Australia & New Zealand Mathematics Convention (with Yihong Du and Tom ter Elst)
• Organiser of special ession at the 50th Annual Meeting of the Australian Mathematical Society (with Xuan Duong and Xu-Jia Wang)
• Organiser of ICE-EM/AMSI Summer School 2007 (with Ruibin Zhang and Georg Gottwald)
• Organiser of conference Recent Advances in Nonlinear Partial Differential Equations at the University of New England from 16-21 July 2006 (with Yihong Du and Shusen Yan)

Publication Highlights

Below some publication highlights. You can also look at my complete list of publications including preprints and links to the original articles if available or view the 10 most frequently cited publications in MathSciNet.

• with P Koch Medina, Abstract evolution equations, periodic problems and applications, Longman Scientific & Technical, Harlow, Essex, 1992.
• Domain perturbation for linear and semi-linear boundary value problems, Handbook of Differential Equations: Stationary Partial Differential Equations, Vol 6, (2008), 1-81, Elsevier, 2008. ISBN-13: 978-0-444-53241-1.
• A Faber-Krahn inequality for Robin problems in any space dimension, Mathematische Annalen, 335 (2006), 767 - 785. (related work)
• Dirichlet problems on varying domains, J Diff Eq 188 (2003), 591-624. (related work)
• Heat kernel estimates for operators with boundary conditions, Math Nachr, 217(2000), 13-41.
• Robin boundary value problems on arbitrary domains, Trans AMS, 352 (2000), 4207-4236. (related work)
• with EN Dancer, Domain perturbation for elliptic equations subject to Robin boundary conditions, J Diff Eq 138 (1997), 86-132.
• Domain perturbation for linear and nonlinear parabolic equations, J Diff Eq 129 (1996), 358-402. (related work)

Courses Taught Recently

• MATH1001: Differential Calculus
• MATH1906: Mathematics Special Studies Program
• MATH2962: Real and Complex Analysis (Advanced)
• MATH2917: Working Seminar B (SSP)
• Honours/Postgraduate: Functional Analysis

I am the coordinator for the Mathematics Special Studies Program (MATH1906 and MATH1907) and the Mathematics Talented Student Program.

You can also view my current lecture and tutorial timetable including my consultation hour (during the semester only).