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.
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Sociedade Brasileira de Matemática
2012-01-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
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Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14502 |
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doaj-262dfeaa0b01421b97a4912fe5c664442020-11-25T01:46:24ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882012-01-013027983Strict monotonicity and unique continuation of the biharmonic operatorNajib TsouliOmar ChakroneMostafa RahmaniOmar DarhoucheIn 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.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14502variational methodseigenvaluesbiharmonic operatorunique continuation. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Najib Tsouli Omar Chakrone Mostafa Rahmani Omar Darhouche |
spellingShingle |
Najib Tsouli Omar Chakrone Mostafa Rahmani Omar Darhouche Strict monotonicity and unique continuation of the biharmonic operator Boletim da Sociedade Paranaense de Matemática variational methods eigenvalues biharmonic operator unique continuation. |
author_facet |
Najib Tsouli Omar Chakrone Mostafa Rahmani Omar Darhouche |
author_sort |
Najib Tsouli |
title |
Strict monotonicity and unique continuation of the biharmonic operator |
title_short |
Strict monotonicity and unique continuation of the biharmonic operator |
title_full |
Strict monotonicity and unique continuation of the biharmonic operator |
title_fullStr |
Strict monotonicity and unique continuation of the biharmonic operator |
title_full_unstemmed |
Strict monotonicity and unique continuation of the biharmonic operator |
title_sort |
strict monotonicity and unique continuation of the biharmonic operator |
publisher |
Sociedade Brasileira de Matemática |
series |
Boletim da Sociedade Paranaense de Matemática |
issn |
0037-8712 2175-1188 |
publishDate |
2012-01-01 |
description |
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. |
topic |
variational methods eigenvalues biharmonic operator unique continuation. |
url |
http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14502 |
work_keys_str_mv |
AT najibtsouli strictmonotonicityanduniquecontinuationofthebiharmonicoperator AT omarchakrone strictmonotonicityanduniquecontinuationofthebiharmonicoperator AT mostafarahmani strictmonotonicityanduniquecontinuationofthebiharmonicoperator AT omardarhouche strictmonotonicityanduniquecontinuationofthebiharmonicoperator |
_version_ |
1725019680903528448 |