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Strict monotonicity and unique continuation of the biharmonic operator

Author(s): Najib Tsouli | Omar Chakrone | Mostafa Rahmani | Omar Darhouche

Journal: Boletim da Sociedade Paranaense de Matemática
ISSN 0037-8712

Volume: 30;
Issue: 2;
Start page: 79;
Date: 2012;
Original page

Keywords: variational methods | eigenvalues | biharmonic operator | unique continuation.

In this paper, we will show that the strict monotonicity of the eigenvalues of the biharmonic operator holds if and only if some unique continuation property is satisfied by the corresponding eigenfunctions.
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