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Professor Tom ter Elst

PhD (Eindhoven)

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Professor

Research | Current

  • Harmonic analysis
  • Operator theory
  • Geometric analysis
  • Subelliptic and degenerate operators
  • PDE

Teaching | Current

Projects:

  • The Dirichlet-to-Neumann operator (Reading and/or Project)
  • Form methods and elliptic operators (Reading)
  • Semigroup theory/Evolution equations (Reading)
  • p-Adic analysis (Reading)
  • Harmonic analysis (Reading)
  • Pseudo-differential operators (Reading)

Postgraduate supervision

Current PhD student: Chris Wong.

Past PhD students:

  • Gareth Gordon (2019)
  • Tan Do (2016)
  • Manfred Sauter (2013)
  • Howard Cohl (2010)
  • Camiel Smulders (2000)

Selected publications and creative works (Research Outputs)

  • ter Elst, A. F. M., & Ouhabaz, E. M. (2019). Dirichlet-to-Neumann and elliptic operators on C1+kappa-domains: Poisson and Gaussian bounds. JOURNAL OF DIFFERENTIAL EQUATIONS, 267 (7), 4224-4273. 10.1016/j.jde.2019.04.034
  • ter Elst, A. F. M., Liskevich, V., Sobol, Z., & Vogt, H. (2017). On the Lp-theory of C₀-semigroups associated with second-order. Proceedings of the London Mathematical Society, 115 (4), 693-724. 10.1112/plms.12054
    URL: http://hdl.handle.net/2292/39551
  • Disser, K., ter Elst, A. F. M., & Rehberg, J. (2017). On maximal parabolic regularity for non-autonomous parabolic operators. Journal of Differential Equations, 262 (3), 2039-2072. 10.1016/j.jde.2016.10.033
    URL: http://hdl.handle.net/2292/32383
  • Behrndt, J., & ter Elst AFM (2015). Dirichlet-to-Neumann maps on bounded Lipschitz domains. Journal of Differential Equations, 259 (11), 5903-5926. 10.1016/j.jde.2015.07.012
    URL: http://hdl.handle.net/2292/30180
  • ter Elst, A. F. M., Sauter, M., & Vogt, H. (2015). A generalisation of the form method for accretive forms and operators. Journal of Functional Analysis, 269 (3), 705-744. 10.1016/j.jfa.2015.04.010
  • Rehberg, J., & ter Elst, A. F. M. (2015). Hölder estimates for second-order operators on domains with rough boundary. Advances in Differential Equations, 20 (3/4), 299-360. Related URL.
  • Arendt, W., & ter Elst, A. F. M. (2012). Sectorial forms and degenerate differential operators. Journal of Operator Theory, 67 (1), 33-72.
  • Arendt, W., Biegert, M., & ter Elst, A. F. M. (2012). Diffusion determines the manifold. Journal für die reine und angewandte Mathematik (Crelle's Journal), 667, 1-25. 10.1515/CRELLE.2011.131
    URL: http://hdl.handle.net/2292/26124

Contact details

Office hours

Mo 2-3pm, Wed 11am-12pm

Primary office location

SCIENCE CENTRE 303 - Bldg 303
Level 2, Room 229D
38 PRINCES ST
AK CNTRL
AUCKLAND 1010
New Zealand

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