Pekka Lehtelä's Research Page

Affiliation

I am a doctoral student at Aalto University School of Science, Department of Mathematics, the Nonlinear PDE research group (led by Professor Kinnunen).

Research interests

Nonlinear partial differential equations, Analysis in Metric Spaces

Master's Thesis, in Finnish

Publications

  1. H. Hakkarainen, J. Kinnunen, P. Lahti, and P. Lehtelä, Relaxation and integral representation for functionals of linear growth on metric measure spaces, Anal. Geom. Metr. Spaces 4 (2016), Art. 13.
  2. P. Lehtelä, T. Lukkari, The equivalence of weak and very weak supersolutions to the porous medium equation , Tohoku Math. J. (To appear).
  3. P. Lehtelä, A weak Harnack estimate for supersolutions to the porous medium equation , Differ. Integral Equ. 30 (2017), no. 11-12, 879-916.
  4. J. Kinnunen, P. Lehtelä, P. Lindqvist and M. Parviainen Supercaloric functions for the porous medium equation , submitted.
  5. V. Bögelein, P. Lehtelä and S. Sturm Regularity of weak solutions and supersolutions to the porous medium equation , submitted.

See also