Identification of source terms in the Lotka–Volterra system
In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions....
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Gnanavel, Soundararajan [verfasserIn] Barani Balan, Natesan [verfasserIn] Balachandran, Krishnan [verfasserIn] |
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| Format: |
E-Artikel |
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| Erschienen: |
Walter de Gruyter GmbH & Co. KG ; 2012 |
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| Schlagwörter: |
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| Umfang: |
26 |
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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, 20(2012), 3 vom: 01. Sept., Seite 287-312 |
| Übergeordnetes Werk: |
volume:20 ; year:2012 ; number:3 ; day:01 ; month:09 ; pages:287-312 ; extent:26 |
| Links: |
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| DOI / URN: |
10.1515/jip-2012-0027 |
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NLEJ247091642 |
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| 520 | |a In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem. | ||
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10.1515/jip-2012-0027 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091642 DE-627 ger DE-627 rakwb Gnanavel, Soundararajan verfasserin aut Identification of source terms in the Lotka–Volterra system Walter de Gruyter GmbH & Co. KG 2012 26 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem. Walter de Gruyter Online Zeitschriften Inverse source problem Lotka–Volterra competition-diffusion system quasi-solution Barani Balan, Natesan verfasserin aut Balachandran, Krishnan verfasserin aut Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 20(2012), 3 vom: 01. Sept., Seite 287-312 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:20 year:2012 number:3 day:01 month:09 pages:287-312 extent:26 https://doi.org/10.1515/jip-2012-0027 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 20 2012 3 01 09 287-312 26 |
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10.1515/jip-2012-0027 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091642 DE-627 ger DE-627 rakwb Gnanavel, Soundararajan verfasserin aut Identification of source terms in the Lotka–Volterra system Walter de Gruyter GmbH & Co. KG 2012 26 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem. Walter de Gruyter Online Zeitschriften Inverse source problem Lotka–Volterra competition-diffusion system quasi-solution Barani Balan, Natesan verfasserin aut Balachandran, Krishnan verfasserin aut Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 20(2012), 3 vom: 01. Sept., Seite 287-312 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:20 year:2012 number:3 day:01 month:09 pages:287-312 extent:26 https://doi.org/10.1515/jip-2012-0027 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 20 2012 3 01 09 287-312 26 |
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10.1515/jip-2012-0027 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091642 DE-627 ger DE-627 rakwb Gnanavel, Soundararajan verfasserin aut Identification of source terms in the Lotka–Volterra system Walter de Gruyter GmbH & Co. KG 2012 26 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem. Walter de Gruyter Online Zeitschriften Inverse source problem Lotka–Volterra competition-diffusion system quasi-solution Barani Balan, Natesan verfasserin aut Balachandran, Krishnan verfasserin aut Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 20(2012), 3 vom: 01. Sept., Seite 287-312 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:20 year:2012 number:3 day:01 month:09 pages:287-312 extent:26 https://doi.org/10.1515/jip-2012-0027 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 20 2012 3 01 09 287-312 26 |
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10.1515/jip-2012-0027 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091642 DE-627 ger DE-627 rakwb Gnanavel, Soundararajan verfasserin aut Identification of source terms in the Lotka–Volterra system Walter de Gruyter GmbH & Co. KG 2012 26 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem. Walter de Gruyter Online Zeitschriften Inverse source problem Lotka–Volterra competition-diffusion system quasi-solution Barani Balan, Natesan verfasserin aut Balachandran, Krishnan verfasserin aut Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 20(2012), 3 vom: 01. Sept., Seite 287-312 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:20 year:2012 number:3 day:01 month:09 pages:287-312 extent:26 https://doi.org/10.1515/jip-2012-0027 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 20 2012 3 01 09 287-312 26 |
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10.1515/jip-2012-0027 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091642 DE-627 ger DE-627 rakwb Gnanavel, Soundararajan verfasserin aut Identification of source terms in the Lotka–Volterra system Walter de Gruyter GmbH & Co. KG 2012 26 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem. Walter de Gruyter Online Zeitschriften Inverse source problem Lotka–Volterra competition-diffusion system quasi-solution Barani Balan, Natesan verfasserin aut Balachandran, Krishnan verfasserin aut Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 20(2012), 3 vom: 01. Sept., Seite 287-312 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:20 year:2012 number:3 day:01 month:09 pages:287-312 extent:26 https://doi.org/10.1515/jip-2012-0027 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 20 2012 3 01 09 287-312 26 |
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In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem. |
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In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem. |
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In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem. |
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KG</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">26</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper we study the inverse problem of determining three unknown source terms in the linearized Lotka–Volterra competition-diffusion system of three species with variable coefficients from measured output data in the form of Dirichlet and the final time overdetermination boundary conditions. We use Hasanov's approach based on quasi-solution method and adjoint problem solution for inverse source problems. Further we provide the Fréchet gradient of the cost functional through the solution of the adjoint problem and several necessary and sufficient results to prove the existence of a quasi-solution and also unicity of the considered inverse problem.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Walter de Gruyter Online Zeitschriften</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverse source problem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lotka–Volterra competition-diffusion system</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quasi-solution</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Barani Balan, Natesan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Balachandran, Krishnan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of inverse and ill-posed problems</subfield><subfield code="d">Berlin : de Gruyter, 1993</subfield><subfield code="g">20(2012), 3 vom: 01. Sept., Seite 287-312</subfield><subfield code="w">(DE-627)NLEJ248236091</subfield><subfield code="w">(DE-600)2041913-2</subfield><subfield code="x">1569-3945</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:20</subfield><subfield code="g">year:2012</subfield><subfield code="g">number:3</subfield><subfield code="g">day:01</subfield><subfield code="g">month:09</subfield><subfield code="g">pages:287-312</subfield><subfield code="g">extent:26</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/jip-2012-0027</subfield><subfield code="z">Deutschlandweit zugänglich</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-DGR</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">20</subfield><subfield code="j">2012</subfield><subfield code="e">3</subfield><subfield code="b">01</subfield><subfield code="c">09</subfield><subfield code="h">287-312</subfield><subfield code="g">26</subfield></datafield></record></collection>
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