Dr. Daniel Hauer

• Nonlinear elliptic and parabolic equations associated to operators of Leray-Lions type, as for instance the p-Laplace operator,
• Semi-groups, Dynamical systems,
• Regularity of solutions of degenerate or singular elliptic and parabolic problems,
• Asymptotic behavior of solutions of degenerate or singular parabolic equations: blow-up and convergence to a stationary solution as time t tends to infinity.

• D. Hauer, A. Rhandi, New weighted Hardy's inequalities with
  application to non-existence of global solutions, To appear in Archiv der Mathematik.http://arxiv.org/abs/1207.3587
• D. Hauer, Convergence of bounded solutions of nonlinear parabolic problems on a bounded interval: the singular case, NoDEA Nonlinear Differential Equations Appl. (2012), (DOI) 10.1007/s00030-012-0203-0. (Link to article)
• J. Goldstein, D. Hauer, A. Rhandi, On the existence and regularity of solutions of nonlinear parabolic equations with a singular potential, In preparation.
• R. Chill, D. Hauer, A Perron Method for quasilinear parabolic equations with a Lipschitz perturbation, In preparation.
• Diplomarbeit: Nonlinear Heat Equations Associated with Convex Functionals - An Introduction based on the Dirichlet p-Laplace Operator, Mai 2007.

Please contact me, daniel.hauer(at)uni-ulm.de or daniel.hauer(at)math.cnrs.fr to request re/preprints.

• WS 12/13: Excercises
  1. Mathematics for biologists
  2. Calculus of variations

• WS 08/09: Excercices for Analysis I
• SS 2009: Excercies for Analysis II