Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems

M. H. Farag; T. A. Talaat; E. M. Kamal

doi:10.4067/S0719-06462013000200011

Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems

Authors

M. H. Farag Minia University, Department of Mathematics, Faculty of Science, Minia, Egypt.
T. A. Talaat Minia University, Department of Mathematics, Faculty of Science, Minia, Egypt.
E. M. Kamal Minia University, Department of Mathematics, Faculty of Science, Minia, Egypt.

DOI:

https://doi.org/10.4067/S0719-06462013000200011

Keywords:

Optimal control, Quasilinear Parabolic Equation, Existence and Uniqueness Theorems

Abstract

This paper presents an optimal control of processes described by a quasilinear parabolic systems with controls in the coefficients of equation, in the boundary condition and in the right side of this equation. Theorems concarning the existence and uniqueness for the solution of the cosidering problem are investigated.

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Published

2013-06-01

How to Cite

[1]

M. H. Farag, T. A. Talaat, and E. M. Kamal, “Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems”, CUBO, vol. 15, no. 2, pp. 111–119, Jun. 2013.