On a shape design problem for one spectral functional
In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for...
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Gespeichert in:
| Autor*in: |
Gasimov, Yusif S. [verfasserIn] |
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| Format: |
E-Artikel |
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| Erschienen: |
Walter de Gruyter GmbH ; 2013 |
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| Schlagwörter: |
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| Umfang: |
9 |
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| Reproduktion: |
Walter de Gruyter Online Zeitschriften |
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| Übergeordnetes Werk: |
Enthalten in: Journal of inverse and ill-posed problems - Berlin : de Gruyter, 1993, 21(2013), 5 vom: 06. Juni, Seite 629-637 |
| Übergeordnetes Werk: |
volume:21 ; year:2013 ; number:5 ; day:06 ; month:06 ; pages:629-637 ; extent:9 |
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| DOI / URN: |
10.1515/jip-2012-0001 |
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NLEJ247091480 |
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| 520 | |a In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for the optimal shape is obtained. Evident formulas are given forthe eigenvalues in the optimal domain for some particular cases. | ||
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| 650 | 4 | |a eigenvalue problem | |
| 650 | 4 | |a support function | |
| 650 | 4 | |a domain variation | |
| 650 | 4 | |a eigenfrequency | |
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10.1515/jip-2012-0001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091480 DE-627 ger DE-627 rakwb Gasimov, Yusif S. verfasserin aut On a shape design problem for one spectral functional Walter de Gruyter GmbH 2013 9 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for the optimal shape is obtained. Evident formulas are given forthe eigenvalues in the optimal domain for some particular cases. Walter de Gruyter Online Zeitschriften Shape optimization eigenvalue problem support function domain variation eigenfrequency Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 21(2013), 5 vom: 06. Juni, Seite 629-637 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:21 year:2013 number:5 day:06 month:06 pages:629-637 extent:9 https://doi.org/10.1515/jip-2012-0001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 21 2013 5 06 06 629-637 9 |
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10.1515/jip-2012-0001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091480 DE-627 ger DE-627 rakwb Gasimov, Yusif S. verfasserin aut On a shape design problem for one spectral functional Walter de Gruyter GmbH 2013 9 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for the optimal shape is obtained. Evident formulas are given forthe eigenvalues in the optimal domain for some particular cases. Walter de Gruyter Online Zeitschriften Shape optimization eigenvalue problem support function domain variation eigenfrequency Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 21(2013), 5 vom: 06. Juni, Seite 629-637 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:21 year:2013 number:5 day:06 month:06 pages:629-637 extent:9 https://doi.org/10.1515/jip-2012-0001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 21 2013 5 06 06 629-637 9 |
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10.1515/jip-2012-0001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091480 DE-627 ger DE-627 rakwb Gasimov, Yusif S. verfasserin aut On a shape design problem for one spectral functional Walter de Gruyter GmbH 2013 9 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for the optimal shape is obtained. Evident formulas are given forthe eigenvalues in the optimal domain for some particular cases. Walter de Gruyter Online Zeitschriften Shape optimization eigenvalue problem support function domain variation eigenfrequency Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 21(2013), 5 vom: 06. Juni, Seite 629-637 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:21 year:2013 number:5 day:06 month:06 pages:629-637 extent:9 https://doi.org/10.1515/jip-2012-0001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 21 2013 5 06 06 629-637 9 |
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10.1515/jip-2012-0001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091480 DE-627 ger DE-627 rakwb Gasimov, Yusif S. verfasserin aut On a shape design problem for one spectral functional Walter de Gruyter GmbH 2013 9 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for the optimal shape is obtained. Evident formulas are given forthe eigenvalues in the optimal domain for some particular cases. Walter de Gruyter Online Zeitschriften Shape optimization eigenvalue problem support function domain variation eigenfrequency Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 21(2013), 5 vom: 06. Juni, Seite 629-637 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:21 year:2013 number:5 day:06 month:06 pages:629-637 extent:9 https://doi.org/10.1515/jip-2012-0001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 21 2013 5 06 06 629-637 9 |
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10.1515/jip-2012-0001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091480 DE-627 ger DE-627 rakwb Gasimov, Yusif S. verfasserin aut On a shape design problem for one spectral functional Walter de Gruyter GmbH 2013 9 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for the optimal shape is obtained. Evident formulas are given forthe eigenvalues in the optimal domain for some particular cases. Walter de Gruyter Online Zeitschriften Shape optimization eigenvalue problem support function domain variation eigenfrequency Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 21(2013), 5 vom: 06. Juni, Seite 629-637 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:21 year:2013 number:5 day:06 month:06 pages:629-637 extent:9 https://doi.org/10.1515/jip-2012-0001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 21 2013 5 06 06 629-637 9 |
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In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for the optimal shape is obtained. Evident formulas are given forthe eigenvalues in the optimal domain for some particular cases. |
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In the work we deal with the eigenvalue problem for the elliptic operator with variable domain. The object under investigation is a functional involving eigenvalues of this operator. A formula for the first variation of the functional with respect to the domain is derived. A necessary condition for the optimal shape is obtained. Evident formulas are given forthe eigenvalues in the optimal domain for some particular cases. |
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