Juan RODRIGUEZ - Academia.edu (original) (raw)
Uploads
Papers by Juan RODRIGUEZ
Siam Journal on Control and Optimization, 2010
This paper is concerned with the state-constrained optimal control of the two- dimensional thermi... more This paper is concerned with the state-constrained optimal control of the two- dimensional thermistor problem, a quasi-linear coupled system of a parabolic and elliptic PDE with mixed boundary conditions. This system models the heating of a conducting material by means of direct current. Existence, uniqueness and continuity for the state system are derived by employing maximal elliptic and parabolic regularity.
Siam Journal on Control and Optimization, 2010
This paper is concerned with the state-constrained optimal control of the two- dimensional thermi... more This paper is concerned with the state-constrained optimal control of the two- dimensional thermistor problem, a quasi-linear coupled system of a parabolic and elliptic PDE with mixed boundary conditions. This system models the heating of a conducting material by means of direct current. Existence, uniqueness and continuity for the state system are derived by employing maximal elliptic and parabolic regularity.