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Eigenfunctions on a unit square domain and Polterovich's conjecture on the number of nodal domains. (arXiv:1712.09457v1 [math.SP])

来源于:arXiv
We prove Polterovich's conjecture concerning the growth of the number of nodal domains for eigenfunctions on a unit square domain, under the assumption that the eigenfunctions do not have any singular points. 查看全文>>