Strict monotonicity and unique continuation of the biharmonic operator
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.
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Sociedade Brasileira de Matemática
2012-01-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Subjects: | |
Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14502 |
Summary: | 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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ISSN: | 0037-8712 2175-1188 |