7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems
Peter I. Kogut, Olha P. Kupenko · 2019
We consider an optimal control problem associated to Dirichlet boundary value problem for linear elliptic equations on a bounded domain Ω.We take the matrixvalued coecients A(x) of such system as a control in L 1 (Ω; R N × R N ).One of the important features of the admissible controls is the fact that the coecient matrices A(x) are non-symmetric, unbounded on Ω, and eigenvalues of the symmetric part A sym = (A + A t )/2 may vanish in Ω.