Daniel Daners: Publications

Contact for Re/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)

General Interest

• Alexander P Campbell and Daniel Daners,
  Linear algebra via complex analysis,
  Preprint, April 17, 2012, to appear in American Mathematical Monthly.
• Daniel Daners,
  A short elementary proof of \(\sum 1/k^2=\pi^2/6\) ,
  Mathematics Magazine 85 (2012), 361-364.
• Daniel Daners,
  The Mercator and stereographic projections, and many in between,
  American Mathematical Monthly 119 (2012), 199-210. (MR 2911436)

Papers and Preprints

• Daniel Daners
  Non-positivity of the semigroup generated by the Dirichlet-to-Neumann operator,
  Preprint, January 2013.
• Daniel Daners
  Eigenvalue problems for a cooperative system with a large parameter,
  Advanced Nonlinear Studies 13 (2013), 137-148.
• Daniel Daners
  Principal eigenvalues for generalised indefinite Robin problems,
  Preprint, June 2011, to appear in Potential Analysis.
• 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)
• 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(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.