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.

Bibliographic Details
Main Authors:	Najib Tsouli, Omar Chakrone, Mostafa Rahmani, Omar Darhouche
Format:	Article
Language:	English
Published:	Sociedade Brasileira de Matemática 2012-01-01
Series:	Boletim da Sociedade Paranaense de Matemática
Subjects:	variational methods eigenvalues biharmonic operator unique continuation.
Online Access:	http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/14502

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spelling	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

Strict monotonicity and unique continuation of the biharmonic operator

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