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Second order necessary optimality conditions for domain optimization problem with a Neumann problem

  • Distributed Parameter Systems
  • Conference paper
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System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 113))

Abstract

In this paper, we treat a domain optimization problem in which the boundary value problem is a Neumann problem. In the case where the domain Ω is in three-dimensional Euclidean space, the first and the second order necessary conditions which the optimal domain must satisfy are derived under the constraint which is the generalization of the requisition of constant volume.

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Authors and Affiliations

  1. Department of Control Engineering, Faculty of Engineering Science, Osaka University, 560, Toyonaka, Osaka, Japan

    Yoshito Goto, Nobuo Fujii & Yasuyuki Muramatsu

Authors
  1. Yoshito Goto
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  2. Nobuo Fujii
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  3. Yasuyuki Muramatsu
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Editor information

Masao Iri Keiji Yajima

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© 1988 International Federation for Information Processing

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Goto, Y., Fujii, N., Muramatsu, Y. (1988). Second order necessary optimality conditions for domain optimization problem with a Neumann problem. In: Iri, M., Yajima, K. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042794

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  • DOI: https://doi.org/10.1007/BFb0042794

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19238-1

  • Online ISBN: 978-3-540-39164-7

  • eBook Packages: Springer Book Archive

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