People_
Associate Professor Daniel Daners
Associate Professor in the School of Mathematics and Statistics
Address
F07 - Carslaw Building
The University of Sydney
PhD 1992, University of Zurich, Switzerland
My interests are partial differential equations, particularly elliptic and parabolic boundary value problems, spectral theory, analytic semigroup theory, operator theory.
For more details see
- Complete List of Publications (Personal page with preprints, abstracts and links to the original publications.) Some preprints are available from arXiv.
- Publications from School of Mathematics publication database or MathSciNet
- View my profiles on MathSciNet (subscription required), Zentralblatt Math or Google Scholar
- Personal web page
Timetable
Project title | Research student |
---|---|
O-minimal Geometry | Mark PERRIN |
Publications
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Books
- Daners, D., Koch Medina, P. (1992). Abstract evolution equations, periodic problems and applications. UK: Longman Scientific & Technical.
Book Chapters
- Daners, D. (2008). Domain perturbation for linear and semi-linear boundary value problems. In Michel Chipot (Eds.), Handbook of Differential Equations: Stationary partial differential equations; volume 6, (pp. 1-81). Amsterdam: Elsevier Science. [More Information]
- Daners, D. (1999). Local Singular Variation of Domain for Semilinear Elliptic Equations. In Joachim Escher and Gieri Simonett (Eds.), Progress in Nonlinear Differential Equations and Their Applications, (pp. 117-141). Switzerland: Springer Basel AG.
Journals
- Daners, D., Zeaiter, Z. (2025). Logistic growth in seasonally changing environments. Journal of Evolution Equations, 25(2), 29-1-29-38. [More Information]
- Arendt, W., Daners, D. (2025). Semi-linear evolution equations via positive semigroups. Discrete and Continuous Dynamical Systems - Series B, 30(5), 1809-1841. [More Information]
- Daners, D., Gluck, J., Mui, J. (2023). Local uniform convergence and eventual positivity of solutions to biharmonic heat equations. Differential and Integral Equations, 36(9/10), 727-756. [More Information]
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Conferences
- Daners, D. (2000). Existence and perturbation of principal eigenvalues for a periodic-parabolic problem. Nonlinear Differential Equations, a conference celebrating the sixtieth birthday of Alan C. Lazer, USA: -------.
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2025
- Daners, D., Zeaiter, Z. (2025). Logistic growth in seasonally changing environments. Journal of Evolution Equations, 25(2), 29-1-29-38. [More Information]
- Arendt, W., Daners, D. (2025). Semi-linear evolution equations via positive semigroups. Discrete and Continuous Dynamical Systems - Series B, 30(5), 1809-1841. [More Information]
2023
- Daners, D., Gluck, J., Mui, J. (2023). Local uniform convergence and eventual positivity of solutions to biharmonic heat equations. Differential and Integral Equations, 36(9/10), 727-756. [More Information]
- Arendt, W., Daners, D. (2023). Semilinear elliptic equations on rough domains. Journal of Differential Equations, 346, 376-415. [More Information]
- Daners, D., Paunescu, L. (2023). The fundamental theorem of algebra via real polynomials. American Mathematical Monthly, 130(8), 727. [More Information]
2022
- Daners, D. (2022). Unified proofs of three fundamental properties of continuous functions. Mathematics Magazine, 95(5), 502-508. [More Information]
2021
- Arora, S., Browne, H., Daners, D. (2021). An alternative approach to Fréchet derivatives. Journal of the Australian Mathematical Society, 111(2), 202-220. [More Information]
- Kuchel, P., Cox, C., Daners, D., Shishmarev, D., Galvosas, P. (2021). Surface model of the human red blood cell simulating changes in membrane curvature under strain. Scientific Reports, 11(1), 13712-1-13712-18. [More Information]
2019
- Daners, D., Wigmore, T. (2019). Conics and a generalised conical pendulum. The Mathematical Gazette, 103(556), 28-40. [More Information]
2018
- Daners, D., Gluck, J. (2018). A criterion for the uniform eventual positivity of operator semigroups. Integral Equations and Operator Theory, 90(4), 1-19. [More Information]
- Daners, D., Lopez-Gomez, J. (2018). Global dynamics of generalized logistic equations. Advanced Nonlinear Studies, 18(2), 217-236. [More Information]
- Daners, D., Gluck, J. (2018). Towards a perturbation theory for eventually positive semigroups. Journal of Operator Theory, 79(2), 345-372. [More Information]
2017
- Daners, D., Gluck, J. (2017). The role of domination and smoothing conditions in the theory of eventually positive semigroups. Bulletin of the Australian Mathematical Society, 96(2), 286-298. [More Information]
2016
- Daners, D., Gluck, J., Kennedy, J. (2016). Eventually and asymptotically positive semigroups on Banach lattices. Journal of Differential Equations, 261(5), 2607-2649. [More Information]
- Daners, D., Gluck, J., Kennedy, J. (2016). Eventually positive semigroups of linear operators. Journal of Mathematical Analysis and Applications, 433(2), 1561-1593. [More Information]
- Daners, D., Thornett, C. (2016). Periodic-parabolic eigenvalue problems with a large parameter and degeneration. Journal of Differential Equations, 261(1), 273-295. [More Information]
2015
- Dancer, E., Daners, D., Hauer, D. (2015). A Liouville theorem for p-harmonic functions on exterior domains. Positivity, 19(3), 577-586. [More Information]
- Daners, D. (2015). Uniform Continuity of Continuous Functions on Compact Metric Spaces. American Mathematical Monthly, 122(6), 592-592. [More Information]
- Daners, D., Hauer, D., Dancer, E. (2015). Uniform convergence of solutions to elliptic equations on domains with shrinking holes. Advances in Differential Equations, 20(5-6), 463-494.
2014
- Daners, D. (2014). Non-positivity of the semigroup generated by the Dirichlet-to-Neumann operator. Positivity, 18(2), 235-256. [More Information]
2013
- Daners, D. (2013). Eigenvalue Problems for a Cooperative System with a Large Parameter. Advanced Nonlinear Studies, 13(1), 137-148.
- Campbell, A., Daners, D. (2013). Linear Algebra via Complex Analysis. American Mathematical Monthly, 120(10), 877-892. [More Information]
- Daners, D. (2013). Principal Eigenvalues for Generalised Indefinite Robin Problems. Potential Analysis, 38(4), 1047-1069. [More Information]
2012
- Daners, D. (2012). A Short Elementary Proof of Sum of 1/k(squared) = pi(squared)/6. Mathematics Magazine, 85(5), 361-364. [More Information]
- Daners, D. (2012). The Mercator and Stereographic Projections, and Many in Between. American Mathematical Monthly, 119(3), 199-210. [More Information]
2011
- Daners, D. (2011). Krahn's proof of the Rayleigh conjecture revisited. Archiv der Mathematik, 96(2), 187-199. [More Information]
2010
- Daners, D., Kawohl, B. (2010). An isoperimetric inequality related to a Bernoulli problem. Calculus of Variations and Partial Differential Equations, 39(3-4), 547-555. [More Information]
- Daners, D., Kennedy, J. (2010). On the asymptotic behaviour of the eigenvalues of a Robin problem. Differential and Integral Equations, 23(7-8), 659-669.
2009
- Daners, D., Drabek, P. (2009). A priori estimates for a class of quasi-linear elliptic equations. Transactions of the American Mathematical Society, 361(12), 6475-6500. [More Information]
- Bucur, D., Daners, D. (2009). An alternative approach to the Faber-Krahn inequality for Robin problems. Calculus of Variations and Partial Differential Equations, 37(1-2), 75-86. [More Information]
- Daners, D. (2009). Inverse positivity for general Robin problems on Lipschitz domains. Archiv der Mathematik, 92(1), 57-69. [More Information]
2008
- Daners, D. (2008). Domain perturbation for linear and semi-linear boundary value problems. In Michel Chipot (Eds.), Handbook of Differential Equations: Stationary partial differential equations; volume 6, (pp. 1-81). Amsterdam: Elsevier Science. [More Information]
- Arendt, W., Daners, D. (2008). The Dirichlet problem by variational methods. Bulletin of the London Mathematical Society, 40(1), 51-56. [More Information]
- Arendt, W., Daners, D. (2008). Varying domains: stability of the Dirichlet and the Poisson problem. Discrete and Continuous Dynamical Systems - Series A, 21(1), 21-39.
2007
- Britton, S., Daners, D., Stewart, M. (2007). A self-assessment test for incoming students. International Journal of Mathematical Education in Science and Technology, 38(7), 861-868. [More Information]
- Arendt, W., Daners, D. (2007). Uniform convergence for elliptic problems on varying domains. Mathematische Nachrichten, 280(1-2), 28-49. [More Information]
- Daners, D., Kennedy, J. (2007). Uniqueness in the Faber-Krahn inequality for Robin problems. SIAM Journal On Mathematical Analysis, 39(4), 1191-1207. [More Information]
2006
- Daners, D. (2006). A Faber-Krahn inequality for Robin problems in any space dimension. Mathematische Annalen, 335(4), 767-785. [More Information]
- Biegert, M., Daners, D. (2006). Local and global uniform convergence for elliptic problems on varying domains. Journal of Differential Equations, 223(1), 1-32. [More Information]
2005
- Daners, D. (2005). Perturbation of semi-linear evolution equations under weak assumptions at initial time. Journal of Differential Equations, 210(2), 352-382. [More Information]
2003
- Daners, D. (2003). Dirichlet problems on varying domains. Journal of Differential Equations, 188(2), 591-624. [More Information]
2002
- Daners, D. (2002). A priori estimates for solutions to elliptic equations on non-smooth domains. Proceedings of the Royal Society of Edinburgh Section A (Mathematics), 132(4), 793-813. [More Information]
2000
- Daners, D. (2000). Existence and perturbation of principal eigenvalues for a periodic-parabolic problem. Nonlinear Differential Equations, a conference celebrating the sixtieth birthday of Alan C. Lazer, USA: -------.
- Daners, D. (2000). Heat Kernel Estimates for Operators with Boundary Conditions. Mathematische Nachrichten, 217(1), 13-41. [More Information]
- Daners, D. (2000). Robin boundary value problems on arbitrary domains. Transactions of the American Mathematical Society, 352(9), 4207-4236. [More Information]
1999
- Daners, D. (1999). Local Singular Variation of Domain for Semilinear Elliptic Equations. In Joachim Escher and Gieri Simonett (Eds.), Progress in Nonlinear Differential Equations and Their Applications, (pp. 117-141). Switzerland: Springer Basel AG.
1998
- Daners, D., Merino, S. (1998). Gradient-like parabolic semiflows on BUC(R^N). Proceedings of the Royal Society of Edinburgh Section A (Mathematics), 128(6), 1281-1291. [More Information]
1997
- Dancer, E., Daners, D. (1997). Domain Perturbation for Elliptic Equations Subject to Robin Boundary Conditions. Journal of Differential Equations, 138, 86-132. [More Information]
- Daners, D. (1997). Periodic-parabolic eigenvalue problems with indefinite weight functions. Archiv der Mathematik, 68, 388-397.
1996
- Daners, D. (1996). Domain Perturbation for Linear and Nonlinear Parabolic Equations. Journal of Differential Equations, 129(2), 358-402. [More Information]
1995
- Brown, K., Daners, D., Lopez-Gomez, J. (1995). Change of stability for Schrödinger semigroups. Proceedings of the Royal Society of Edinburgh Section A (Mathematics), 125A, 827-846.
- Daners, D. (1995). Principal Eigenvalues for Some Periodic-Parabolic Operators on R^N and Related Topics. Journal of Differential Equations, 121, 293-313.
1994
- Daners, D., Koch Medina, P. (1994). Exponential stability, change of stability and eigenvalue problems for linear time-periodic parabolic equations on R^N. Differential and Integral Equations, 7(5), 1265-1284.
- Daners, D., Koch Medina, P. (1994). Superconvexity of the evolution operator and parabolic eigenvalue problems on R^N. Differential and Integral Equations, 7(1), 235-255.
- Daners, D., Lopez-Gomez, J. (1994). The singular perturbation problem for the periodic-parabolic logistic equation with indefinite weight functions. Journal of Dynamics and Differential Equations, 6(4), 659-670.
1992
- Daners, D., Koch Medina, P. (1992). Abstract evolution equations, periodic problems and applications. UK: Longman Scientific & Technical.
- Daners, D. (1992). Qualitative behaviour of an epidemics model. Differential and Integral Equations, 5(5), 1017-1032.