Daniel Daners: Personal Front Page
General Information
I am an Associate Professor in the School of Mathematics and Statistics at The University of Sydney.
Contact Information
A/Prof 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: daniel.daners@sydney.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.
You can look at my profiles on MathSciNet (subscription required) or view my profiles on Google Scholar or Zentralblatt Math.
Publication Highlights
Recent publications: (posted 18 Nov 2015):

with Jochen Glück and James B Kennedy
Eventually and asymptotically positive semigroups on Banach lattices,
Preprint, November 2015 
with Christopher Thornett
Periodicparabolic eigenvalue problems with a large parameter and degeneration,
Preprint, 2015. 
with Jochen Glück and James B Kennedy
Eventually positive semigroups of linear operators,
Journal of Mathematical Analysis and Applications 433 (2016), 1561–1593. 
with Daniel Hauer and EN Dancer
Uniform convergence of solutions to elliptic equations on domains with shrinking holes,
Preprint, April 2014, Advances in Differential Equations 20 (2015), 463–494. 
with EN Dancer and Daniel Hauer
A Liouville theorem for \(p\)harmonic functions on exterior domains,
Preprint, January 2014, to appear in Positivity.
You can also look at my complete list of publications including preprints and links to the original articles if available.
Below some publication highlights.
 with P Koch Medina, Abstract evolution equations, periodic problems and applications, Longman Scientific & Technical, Harlow, Essex, 1992.
 Domain perturbation for linear and semilinear boundary value problems, Handbook of Differential Equations: Stationary Partial Differential Equations, Vol 6, (2008), 181, Elsevier, 2008. ISBN13: 9780444532411.
 A FaberKrahn inequality for Robin problems in any space dimension, Mathematische Annalen, 335 (2006), 767  785. (improvements with uniqueness and for pLaplacian)
 Dirichlet problems on varying domains, J Diff Eq 188 (2003), 591624. (related work)
 Heat kernel estimates for operators with boundary conditions, Math Nachr, 217(2000), 1341.
 Robin boundary value problems on arbitrary domains, Trans AMS, 352 (2000), 42074236. (related work)
 with EN Dancer, Domain perturbation for elliptic equations subject to Robin boundary conditions, J Diff Eq 138 (1997), 86132.
 Domain perturbation for linear and nonlinear parabolic equations, J Diff Eq 129 (1996), 358402. (related work)
Professional Activities
 Organiser of 57th Annual Meeting of the Australian Mathematical Society at the University of Sydney
 Organiser of the TohokuSydney Workshop on nonlinear PDE's for early career researchers on March 9, 2012 (joint with Tohoku Unversity)
 I help organise the AMSIANU Workshop on Spectral Theory (July 1317, 2009)
 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 XuJia Wang)
 Organiser of ICEEM/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 1621 July 2006 (with Yihong Du and Shusen Yan)
Courses Taught Recently
 MATH1903: Integral Calculus and Modelling
 MATH1906: Mathematics Special Studies Program
 MATH2961: Linear Algebra and Vector Calculus (Advanced)
 MATH2962: Real and Complex Analysis (Advanced)
 MATH3969: Measure Theory and Fourier Analysis (Advanced)
I am the coordinator for the first and second year Mathematics Special Studies Program (MATH1906/MATH1907 as well as MATH2916/MATH2917) and the Mathematics Talented Student Program.
You can also view my current lecture and tutorial timetable including my consultation hour (during the semester only).