Regional gradient observability for distributed semilinear parabolic systems
The regional gradient observability for distributed semilinear parabolic systems is examined. The authors develop the regional gradient observability notion of linear systems to solve the problem related to a semilinear one. The first reconstruction approach discussed in the paper is based on the Hilbert uniqueness method and the second one uses sectorial properties of the considered operators and the fixed point techniques. In the both approaches, the obtained algorithms are performed through numerical examples and simulation.
scientific article; zbMATH DE number 6136290