Daniel Daners: Publications

Contact for Reprints or Preprints

Please contact me to request re/preprints.

Books and Book Chapters

• Daniel Daners and Pablo Koch Medina,
  Abstract evolution equations, periodic problems and applications,
  Pitman Research Notes in Mathematics Series, Vol. 279, Longman Scientific & Technical, Harlow, Essex, 1992. (MR 94b:34002, Zbl 789.35001)
  An errata is available (dvi-file (5.7kB), ps-file (38kB), PDF-file (70kB))
• Daniel Daners,
  Domain perturbation for linear and semi-linear boundary value problems,
  Handbook of Differential Equations: Stationary Partial Differential Equations, Vol 6, (M. Chipot, Editor), Elsevier, 2008. ISBN-13: 978-0-444-53241-1. (MR 2569323, Zbl 1197.35090)

General Interest

• Daniel Daners,
  Vector Calculus: An introduction, Online Lecture Notes, University of Sydney (2023).
• Daniel Daners and Laurentiu Paunescu
  The Fundamental Theorem of Algebra via Real Polynomials,
  American Mathematical Monthly 130 (2023), 727. (MR 4645499, Zbl 1527.30004)
• Daniel Daners,
  Unified proofs of three fundamental properties of continuous functions,
  Preprint 2021, Mathematics Magazine 95 (2022), 502–508. (MR 325132)
• Daniel Daners and Theresa Wigmore,
  Conics and a generalised conical pendulum,
  The Mathematical Gazette 103 (2019), 28-40. (MR 3911582)
• Daniel Daners
  Uniform continuity of continuous functions on compact metric spaces,
  American Mathematical Monthly 122 (2015), 592. (MR 3361741, Zbl 1328.97023)
• Alexander P Campbell and Daniel Daners,
  Linear algebra via complex analysis,
  American Mathematical Monthly 120 (2013), 877-892. (MR 3139566, Zbl 1297.15014)
• Daniel Daners,
  A short elementary proof of $\sum 1/k^2={\pi }^2/6$ ,
  Mathematics Magazine 85 (2012), 361-364. (MR 3007217, Zbl 1274.97037)
• Daniel Daners,
  The Mercator and stereographic projections, and many in between,
  American Mathematical Monthly 119 (2012), 199-210. (MR 2911436, Zbl 1258.86009)

Papers and Preprints

• Daniel Daners, Jochen Glück and James Kennedy
  Positivity properties of the Dirichlet-to-Neumann operator on graphs,
  Preprint arXiv:2502.16512 [math.SP], February 2025.
• Daniel Daners and Zeaiter Zeaiter
  Logistic growth in seasonally changing environments,
  Preprint arXiv:2406.03419 [math.AP], Journal of Evolution Equations 25 (2025), Article No 29 (38 pages).
• Wolfgang Arendt and Daniel Daners
  Semi-linear evolution equations via positive semigroups,
  Preprint arXiv:2407.05522 [math.AP], Discrete and Continuous Dynamical Systems B 30 (2025), 1809–1841 .
• Wolfgang Arendt and Daniel Daners,
  Semilinear eliptic equations on rough domains,
  Preprint arXiv:2202.03780 [math.AP], Journal of Differential Equations 346 (2023), 376–415. (MR 4519329)
• Daniel Daners, Jochen Glück and Jonathan Mui
  Local uniform convergence and eventual positivity of solutions to biharmonic heat equations,
  Preprint arXiv:2111.02753 [math.AP], November 2021, Differential and Integral Equations 36 (2023) 727–756.
• Philip W. Kuchel, Charles D. Cox, Daniel Daners, Dmitry Shishmarev and Petrik Galvosas
  Surface model of the human red blood cell simulating changes in membrane curvature under strain,
  Scientific Reports 11 (2021).
• Shane Arora, Hazel Browne, and Daniel Daners
  An alternative approach to Fréchet derivatives,
  Preprint arXiv:1910.11531 [math.FA], Journal of the Australian Mathematical Society 111 (2021), 202–220. (MR 4311041)
• Daniel Daners and Jochen Glück
  A criterion for the uniform eventual positivity of operator semigroups,
  Preprint arXiv:1801.05179, January 2018, Integral Equations Operator Theory 90 (2018), 19pp. (MR 3818344)
• Daniel Daners and Julián López-Gómez
  Global Dynamics of Generalized Logistic Equations,
  Advanced Nonlinear Studies 18 (2018), 217–236 (MR 3781305)
• Daniel Daners and Jochen Glück
  Towards a perturbation theory for eventually positive semigroups,
  Preprint arXiv:1703.10108, March 2017, Journal of Operator Theory 79 (2018), 345–372.
• Daniel Daners and Jochen Glück
  The role of domination and smoothing conditions in the theory of eventually positive semigroups,
  Preprint arXiv:1701.07309, January 2017, Bulletin of the Australian Mathematical Society 96 (2017), 286–298. (MR 3703910, Zbl 06792045)
• Daniel Daners, Jochen Glück and James B Kennedy
  Eventually and asymptotically positive semigroups on Banach lattices,
  Preprint arXiv:1511.05294, Journal of Differential Equations 261 (2016), 2607–2649. (MR 3507982, Zbl 06591352)
• Daniel Daners and Christopher Thornett
  Periodic-parabolic eigenvalue problems with a large parameter and degeneration,
  Preprint, arXiv:1512.00485, Journal of Differential Equations 261 (2016), 273–295. (MR 3487259, Zbl 06571083)
• Daniel Daners, Jochen Glück and James B Kennedy
  Eventually positive semigroups of linear operators,
  Journal of Mathematical Analysis and Applications 433 (2016), 1561–1593. (MR 3398779, Zbl 06487326)
• Daniel Daners, Daniel Hauer and EN Dancer
  Uniform convergence of solutions to elliptic equations on domains with shrinking holes,
  Advances in Differential Equations 20 (2015), 463–494. (MR 3327704, Zbl 1319.35026)
• EN Dancer, Daniel Daners and Daniel Hauer
  A Liouville theorem for $p$-harmonic functions on exterior domains,
  Positivity 19 (2015), 577–586. (MR 3386128, Zbl 1329.35086)
• Daniel Daners
  Non-positivity of the semigroup generated by the Dirichlet-to-Neumann operator,
  Positivity 18 (2014), 235–256. (MR 3215178, Zbl 06347363)
• Daniel Daners
  Eigenvalue problems for a cooperative system with a large parameter,
  Advanced Nonlinear Studies 13 (2013), 137–148. (MR 3058212, Zbl 1273.35140)
• Daniel Daners
  Principal eigenvalues for generalised indefinite Robin problems,
  Potential Analysis 38 (2013), 1047–1069. (MR 3042694, Zbl 1264.35152)
• Daniel Daners
  Krahn's proof of the Rayleigh conjecture revisited,
  Archiv der Mathematik, 96 (2011), 187–199. (MR 2773220, Zbl 1210.35250)
• Daniel Daners and Bernd Kawohl,
  An isoperimetric inequality related to a Bernoulli problem,
  (Calculus of Variations and PDE' 39(2010), 547–555. (MR 2729312, Zbl 1202.35357)
• Daniel Daners and James Kennedy,
  On the asymptotic behaviour of the eigenvalues of a Robin problem,
  Differential and Integral Equations 23(2010), 659-669.(MR 2654263, Zbl 1240.35370)
• Dorin Bucur and Daniel Daners,
  An alternative approach to the Faber-Krahn inequality for Robin problems,
  Calculus of Variations and PDE's, 37(2010), 75 - 86.(MR 2564398, Zbl 1186.35118)
• Daniel Daners,
  Inverse positivity for general Robin problems on Lipschitz domains,
  Archiv der Mathematik 92 (2009), 57 - 69. (MR 2471988, Zbl 1163.35011)
• Daniel Daners and Pavel Drábek,
  A priori estimates for a class of quasi-linear elliptic equations,
  Transactions of the American Mathematical Society, 361(2009), 6475-6500. (MR 2538601, Zbl 1181.35098)
• Wolfgang Arendt and Daniel Daners,
  The Dirichlet problem by variational methods,
  Bulletin of the London Mathematical Society 40 (2008), 51 - 56. (MR 2409177, Zbl 1167.35011)
• Wolfgang Arendt and Daniel Daners,
  Varying domains: Stability of the Dirichlet and the Poisson problem,
  Discrete and Continuous Dynamical Systems - Series A, 21 (2008), 21 - 39. (MR 2379455, Zbl 1124.47055)
• Daniel Daners and James Kennedy,
  Uniqueness in the Faber-Krahn Inequality for Robin Problems,
  SIAM Journal on Mathematical Analysis, 39 (2007), 1191 - 1207. (MR 2368899, Zbl 1155.35403)
• Wolfgang Arendt and Daniel Daners,
  Uniform convergence for elliptic problems on varying domains,
  Mathematische Nachrichten, 280 (2007), 28 - 49.(MR 2290380, Zbl 1124.47055)
• Daniel Daners,
  A Faber-Krahn inequality for Robin problems in any space dimension,
  Mathematische Annalen, 335 (2006), 767 - 785. (MR 2232016, Zbl 1220.35103)
• Markus Biegert and Daniel Daners,
  Local and Global Uniform convergence for elliptic problems on varying domains,
  Journal of Differential Equations, 223 (2006), 1-32. (MR 2210137, Zbl 1170.35377)
• Daniel Daners,
  Perturbation of semi-linear evolution equations under weak assumptions at initial time,
  Journal of Differential Equations, 210 (2005), 352-382. (MR 2119988, Zbl 1088.34054)
• Daniel Daners,
  Dirichlet problems on varying domains,
  Journal of Differential Equations 188 (2003), 591-624. (MR 2004a:35042, Zbl 1090.35069)
• Daniel Daners,
  A priori estimates for solutions to elliptic equations on non-smooth domains,
  Proceedings of the Royal Society of Edinburgh 132A (2002), 793-813. (MR 2003g:35017, Zbl 1083.35024)
• Daniel Daners,
  Existence and perturbation of principal eigenvalues for a periodic-parabolic problem,
  Electronic Journal of Differential Equations, Conference 05, 2000 (Stephen Cantrell and Chris Cosner, eds.), pp. 51-67. (MR 2001j:35125, Zbl 1055.35056)
• Daniel Daners,
  Heat kernel estimates for operators with boundary conditions,
  Mathematische Nachrichten, 217 (2000), 13-41. (MR 2002f:35109, Zbl 0973.35087)
• Daniel Daners,
  Robin boundary value problems on arbitrary domains,
  Transactions of the American Mathematical Society, 352 (2000), 4207-4236. (MR 2000m:35048, Zbl 947.35072)
• Daniel Daners,
  Local singular variation of domain for semilinear elliptic equations,
  in “Topics in Nonlinear Analysis: The Herbert Amann Anniversary Volume” (J. Escher and G. Simonett, eds.), Birkhäuser, Basel, 1998, pp 117-141. (MR 2000j:35094, Zbl 928.35064)
• Daniel Daners and Sandro Merino,
  Gradient-like parabolic semiflows on $BUC({\mathbb{R}}^N)$,
  Proceedings of the Royal Society of Edinburgh, 128A (1998), 1281-1291. (MR 2000a:35120, Zbl 920.35072)
• E.N. Dancer and D. Daners,
  Domain perturbation for elliptic equations subject to Robin boundary conditions,
  Journal of Differential Equations 138 (1997), 86-132. (MR 98e:35017, Zbl 886.35063)
• Daniel Daners,
  Periodic-parabolic eigenvalue problems with indefinite weight functions ,
  Archiv der Mathematik (Basel) 68 (1997), 388-397. (MR 98a:35006, Zbl 874.35075)
• Daniel Daners,
  Domain perturbation for linear and nonlinear parabolic equations,
  Journal of Differential Equations 129 (1996), 358-402. (MR 97h:35071, Zbl 868.35059)
• K. J. Brown, D. Daners and J. López-Gómez,
  Change of stability for Schrödinger semigroups,
  Proceedings of the Royal Society of Edinburgh 125A (1995), 827-846. (MR 96h:35035, Zbl 838.35050)
• Daniel Daners,
  Principal Eigenvalues for some periodic-parabolic operators on R^N and related topics,
  Journal of Differential Equations 121 (1995), 293-312. (MR 96h:35080, Zbl 843.35065)
• E.N. Dancer and D. Daners,
  A priori bounds for solutions and spectra of Robin boundary value problems,
  Technical Report No 94-33, University of Sydney, 1994.
• Daniel Daners and Julián López-Gómez,
  The singular perturbation problem for the periodic-parabolic logistic equation with indefinite weight functions,
  Journal of Dynamics and Differential Equations 6 (1994), 659-670. (MR 95i:35160, Zbl 807.35008)
• Daniel Daners and Pablo Koch Medina,
  Exponential stability, change of stability and eigenvalue problems for linear time-periodic parabolic problems on ${\mathbf{R}}^N$,
  Differential and Integral Equations 7 (1994), 1265-1248. (MR 95i:35033, Zbl 819.35102)
• Daniel Daners and Pablo Koch Medina,
  Superconvexity of the evolution operator and parabolic eigenvalue problems on ${\mathbf{R}}^N$,
  Differential and Integral Equations 7 (1994), 235-255. (MR 94m:34147, Zbl 820.35011)
• Daniel Daners,
  Qualitative behaviour of an epidemics model,
  Differential and Integral Equations 5 (1992), 1017-1032. (MR 93m:92021, Zbl 762.92018)

Other

• Sandra Britton, Daniel Daners and Michael Stewart,
  A self-assessment test for incoming students,
  International Journal of Mathematical Education in Science & Technology, 38 (2007), 861-868.
• Daniel Daners,
  Existenz und Langzeitverhalten von Lösungen eines Epidemiemodells,
  Ph.D. Thesis, Universität Zürich (Switzerland), 1992.