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Publication - Dr Asma Hassannezhad

    A note on Kuttler–Sigillito’s inequalities

    Citation

    Hassannezhad, A & Siffert, A, 2019, ‘A note on Kuttler–Sigillito’s inequalities’. Annales mathématiques du Québec.

    Abstract

    We provide several inequalities between eigenvalues of some classical eigenvalue problems on compact Riemannian manifolds with C² boundary. A key tool in the proof is the generalized Rellich identity on a Riemannian manifold. Our results in particular extend some inequalities due to Kuttler and Sigillito from subsets of R² to the manifold setting.

    Full details in the University publications repository