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On Convergence of Difference Approximations of Extremum Problems Described by Elliptic Equations with Unbounded Nonlinearity

  • Aigul ManapovaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)

Abstract

The present work is devoted to investigation of an optimization problem for elliptic equations with mixed derivatives and unbounded nonlinearity. The coefficients multiplying partial derivatives of the second order in the state equation are used as a control function. We develop finite difference approximations of extremum problems, study their well-posedness and estimate the approximation accuracy with respect to the state.

Keywords

Optimal control problem Nonlinear elliptic equations Unbounded nonlinearity Mixed derivatives 

Notes

Acknowledgments

The author thanks Prof. F. V. Lubyshev for his important remarks and useful discussions.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Bashkir State UniversityUfaRussia

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