Skip to main content
SpringerLink
Log in

Shape Differentiability of Solutions of Boundary Value Problems and Approximate Solutions

  • Published:
Differential Equations Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. Hadamard, J., Oeuvres de Jacques Hadamard. CNRS. Paris. Frances, 1968, vol. 2, pp. 281-368.

    Google Scholar 

  2. Krein, S.G., Studia Mathematica, 1968, vol. 31, pp. 411-424.

    Google Scholar 

  3. Kato, T. and Tanabe, H., Osaka Mathematical Journal, 1962, vol. 14, pp. 107-133.

    Google Scholar 

  4. Kerimov, A.K., Mat. Sb., 1985, vol. 181, no.3, pp. 367-387.

    Google Scholar 

  5. Kerimov, A.K., Trudy Mat. Instituta Im. V.A. Steklova Akad. Nauk SSSR, 1988, vol. 185, pp. 87-105.

    Google Scholar 

  6. Simon, J., Numerical Functional Analysis and Optimization, 1980, vol. 2, no.7, pp. 649-687.

    Google Scholar 

  7. Simon, J., in Control and Estimation of Distributed Parameter Systems. International Series of Numerical Mathematics, Kappel, F., Kunish, K., and Schappacher, W., Eds., Birkhauser, 1989, vol. 91, pp. 361-378.

  8. Sokolowski, J. and Zolesio, J.P., Introduction to Shape Optimization: Shape Sensitivity Analysis, Berlin, 1992.

  9. Belov, S.A. and Fujii, N., Control and Cybernetics (Quarterly Journal and Publishing), 1997, vol. 26, no.1, pp. 1-12.

    Google Scholar 

  10. Belov, S.A. and Sluguin, S.N., Journal of Optimization Theory and Applications, 1996, vol. 90, no.2, pp. 243-255.

    Google Scholar 

  11. Belov, S.A. and Slugin, S.N., Izv. Vyssh. Uchebn. Zaved. Matematika, 1992, no. 10, pp. 3-5.

    Google Scholar 

  12. Fujii, N., SIAM Journal of Control and Optimization, 1986, vol. 24, no.3, pp. 346-360.

    Google Scholar 

  13. Fujii, N., Journal of Optimization Theory and Applications, 1990, vol. 65, no.2, pp. 223-244.

    Google Scholar 

  14. Belov, S.A. and Fujii, N., Proceedings of the Eighth International Colloquium on Differential Equation. Plovdiv, 18-23 August, 1997. Bainov D. VSP, Utrecht, The Netherlands, 1998, pp. 73-79.

  15. Gilbarg, D. and Trudinger, N.S., Elliptic Partial Differential Equations of Second Order, Berlin: Springer, 1983. Translated under the title Ellipticheskie differentsial'nye uravneniya s chastnymi proizvodnymi, Moscow: Nauka, 1989.

    Google Scholar 

  16. Whittaker, E.T. and Watson, G.T., A Course of Modern Analysis, Cambridge, 1963.

Download references

Author information

Authors and Affiliations

  1. Nizhni Novgorod University, Nizhni Novgorod, Russia

    S. A. Belov

Authors
  1. S. A. Belov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belov, S.A. Shape Differentiability of Solutions of Boundary Value Problems and Approximate Solutions. Differential Equations 38, 67–74 (2002). https://doi.org/10.1023/A:1014803609713

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1014803609713

Keywords

Search

Navigation