An Analysis on the Existence of Mild Solution and Optimal Control for Semilinear Thermoelastic System.
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| Title: | An Analysis on the Existence of Mild Solution and Optimal Control for Semilinear Thermoelastic System. |
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| Authors: | Patel, Rohit1 (AUTHOR), Vijayakumar, V.2 (AUTHOR), Jadon, Shimpi Singh1 (AUTHOR), Shukla, Anurag1 (AUTHOR) anuragshukla259@gmail.com |
| Source: | Numerical Functional Analysis & Optimization. 2023, Vol. 44 Issue 14, p1570-1582. 13p. |
| Subjects: | Lagrange problem, Semilinear elliptic equations |
| Abstract: | In this article, the main objective is the conversation about the optimal control problem of the semilinear thermoelastic system, in which the control term is placed solely in the thermal equation. We discuss the existence and uniqueness of mild solutions by applying the contraction mapping for the considered system. By assuming some conditions specified Lagrange's problem acknowledges at least one optimal control pair. For proving the main results, we are assuming the Lipschitz condition on the nonlinear term. [ABSTRACT FROM AUTHOR] |
| Copyright of Numerical Functional Analysis & Optimization is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 173345186 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: An Analysis on the Existence of Mild Solution and Optimal Control for Semilinear Thermoelastic System. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Patel%2C+Rohit%22">Patel, Rohit</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Vijayakumar%2C+V%2E%22">Vijayakumar, V.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jadon%2C+Shimpi+Singh%22">Jadon, Shimpi Singh</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Shukla%2C+Anurag%22">Shukla, Anurag</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> anuragshukla259@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Numerical+Functional+Analysis+%26+Optimization%22">Numerical Functional Analysis & Optimization</searchLink>. 2023, Vol. 44 Issue 14, p1570-1582. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Lagrange+problem%22">Lagrange problem</searchLink><br /><searchLink fieldCode="DE" term="%22Semilinear+elliptic+equations%22">Semilinear elliptic equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this article, the main objective is the conversation about the optimal control problem of the semilinear thermoelastic system, in which the control term is placed solely in the thermal equation. We discuss the existence and uniqueness of mild solutions by applying the contraction mapping for the considered system. By assuming some conditions specified Lagrange's problem acknowledges at least one optimal control pair. For proving the main results, we are assuming the Lipschitz condition on the nonlinear term. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Numerical Functional Analysis & Optimization is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=173345186 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/01630563.2023.2266004 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 1570 Subjects: – SubjectFull: Lagrange problem Type: general – SubjectFull: Semilinear elliptic equations Type: general Titles: – TitleFull: An Analysis on the Existence of Mild Solution and Optimal Control for Semilinear Thermoelastic System. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Patel, Rohit – PersonEntity: Name: NameFull: Vijayakumar, V. – PersonEntity: Name: NameFull: Jadon, Shimpi Singh – PersonEntity: Name: NameFull: Shukla, Anurag IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 10 Text: 2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 01630563 Numbering: – Type: volume Value: 44 – Type: issue Value: 14 Titles: – TitleFull: Numerical Functional Analysis & Optimization Type: main |
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