67 citations
- Czech Technical University in PragueCZ4 papers
- University of OxfordGB3 papers
- University of YorkGB3 papers
- McGill UniversityCA2 papers
- Stanford UniversityUS2 papers
- Université du Québec à Trois-RivièresCA2 papers
- University of MichiganUS2 papers
- Academy of Sciences of MoldovaMD1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Centrum Wiskunde & InformaticaNL1 paper
- Global Social ObservatoryCH1 paper
- Heriot-Watt UniversityGB1 paper
Showing math.SPShow all
2 papers · 1 filter
math.SP2005
Estimates from below for the spectral function and for the remainder in local Weyl's law
Dmitry Jakobson, Iosif Polterovich
We obtain asymptotic lower bounds for the spectral function of the Laplacian and for the remainder in local Weyl's law on manifolds. In the negatively curved case, thermodynamic fo…
math.SP2004★ 2 cited
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond
Dmitry Jakobson, Michael Levitin, Nikolai Nadirashvili +1
Consider a bounded domain with the Dirichlet condition on a part of the boundary and the Neumann condition on its complement. Does the spectrum of the Laplacian determine uniquely…