The study of the paper mainly focusses on recovering the dissipative
parameter in a cascade system coupling a bilaplacian operator to a heat
equation from final time measured data via quasi-solution based optimization.
The coefficient inverse problem is expressed as a minimization problem. We
proved that minimizer exists and the necessary optimality condition which plays
the crucial role to prove the required stability result for the corresponding
coefficient is derived. Utilising the conjugate gradient approach, numerical
results are examined to show the method's effectiveness.Comment: 24 pages, 18 figure