Rebuttal of Donnelly's paper on the spectral gap

Mark Ashbaugh (1) , Antoine Henrot (2, 3) , Richard S. Laugesen (4)

1 Department of Mathematics, University of Missouri Columbia
2 IECN - Institut Élie Cartan de Nancy
3 CORIDA - Robust control of infinite dimensional systems and applications
4 Department of Mathematics [Urbana]

We explain why Donnelly's proof of the gap conjecture is not correct.

Domaines: Equations aux dérivées partielles [math.AP]

Mark Ashbaugh, Antoine Henrot, Richard S. Laugesen. Rebuttal of Donnelly's paper on the spectral gap. Mathematische Zeitschrift, 2011, 269 (1-2), pp.5-7. ⟨10.1007/s00209-011-0925-4⟩. ⟨hal-00608559⟩