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Inverse Coefficient Problem for Elliptic Hemivariational Inequality

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Nonsmooth/Nonconvex Mechanics

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 50))

Abstract

In this paper we consider the problem of identification of a discontinuous coefficient in elliptic hemivariational inequality. First we prove an existence theorem for an inverse problem and we establish the boundary homogenization result for the direct problem. Then we study the asymptotic behavior of the set of solutions to the inverse problem. We show that the solution set to the inverse problem for homogenized hemivariational inequality has the upper semicontinuity property with respect to the solution set of the original identification problem.

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Author information

Authors and Affiliations

  1. Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30072, Cracow, Poland

    S. Migórski (Faculty of Mathematics and Physics) & A. Ochal (Faculty of Mathematics and Physics)

Authors
  1. S. Migórski
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  2. A. Ochal
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Virginia Tech, Blacksburg, Virginia, USA

    David Y. Gao

  2. Department of Mathematics, University of Glasgow, Glasgow, UK

    Ray W. Ogden

  3. Department of Civil Engineering, Technical University Carolo Wilhelmina, Braunschweig, Germany

    Georgios E. Stavroulakis

Additional information

Dedicated to the memory of Professor P.D. Panagiotopoulos.

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© 2001 Kluwer Academic Publishers

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Migórski, S., Ochal, A. (2001). Inverse Coefficient Problem for Elliptic Hemivariational Inequality. In: Gao, D.Y., Ogden, R.W., Stavroulakis, G.E. (eds) Nonsmooth/Nonconvex Mechanics. Nonconvex Optimization and Its Applications, vol 50. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0275-9_11

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  • DOI: https://doi.org/10.1007/978-1-4613-0275-9_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7973-7

  • Online ISBN: 978-1-4613-0275-9

  • eBook Packages: Springer Book Archive

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