Dr Daniel Hauer

Dr. rer. nat. Dr.

F07 - Carslaw Building
The University of Sydney

Telephone 9351 5460
Fax 9351 4534

Website Personal web page

Research interests

  • Functional Analysis, calculus of variation, convex analysis;
  • Ellipitic and parabolic partial differential equations:
    • regularity and the qualitative behaviour of solutions
    • long time asymptotic behaviour of solutions of parabolic equations
    involving quasilinear operators of p-Laplace type, fractional operators and associated with the porous medium equation;
  • Nonlinear semigroup theory:
    • relation between the regularising effects of semigroups and inequalities of type Nash, Sobolev, Log-Sobolev or Poincaré;
  • Algebraic geometry.

Teaching and supervision

Timetable

Selected publications

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Journals

  • Dancer, E., Daners, D., Hauer, D. (2015). A Liouville theorem for p-harmonic functions on exterior domains. Positivity, Online, 1-10. [More Information]
  • Goldstein, J., Hauer, D., Rhandi, A. (2015). Existence and nonexistence of positive solutions of p-Kolmogorov equations perturbed by a Hardy potential. Nonlinear Analysis: Theory, Methods and Applications, August 2015. [More Information]
  • Hauer, D. (2015). The p-Dirichlet-to-Neumann operator with applications to elliptic and parabolic problems. Journal of Differential Equations. [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.
  • Hauer, D., Rhandi, A. (2013). A weighted Hardy inequality and nonexistence of positive solutions. Archiv der Mathematik, 100, 273-287. [More Information]
  • Hauer, D. (2013). Convergence of bounded solutions of nonlinear parabolic problems on a bounded interval: the singular case. Nonlinear Differential Equations and Applications NoDEA, 20(3), 1171-1190. [More Information]

2015

  • Dancer, E., Daners, D., Hauer, D. (2015). A Liouville theorem for p-harmonic functions on exterior domains. Positivity, Online, 1-10. [More Information]
  • Goldstein, J., Hauer, D., Rhandi, A. (2015). Existence and nonexistence of positive solutions of p-Kolmogorov equations perturbed by a Hardy potential. Nonlinear Analysis: Theory, Methods and Applications, August 2015. [More Information]
  • Hauer, D. (2015). The p-Dirichlet-to-Neumann operator with applications to elliptic and parabolic problems. Journal of Differential Equations. [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.

2013

  • Hauer, D., Rhandi, A. (2013). A weighted Hardy inequality and nonexistence of positive solutions. Archiv der Mathematik, 100, 273-287. [More Information]
  • Hauer, D. (2013). Convergence of bounded solutions of nonlinear parabolic problems on a bounded interval: the singular case. Nonlinear Differential Equations and Applications NoDEA, 20(3), 1171-1190. [More Information]

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