The authors define a generalized derivative as the limit of finite-dimensional directional derivatives of the control-to-state map and use it to obtain first- and second-order necessary optimality conditions for a box-constrained problem governed by an exponential semilinear elliptic equation.
Parabolic control problems in measure spaces with sparse solutions.SIAM Journal on Control and Optimiza- tion, 51(1):28–63
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.OC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Generalized Differentiability and Second-Order Necessary Optimality Conditions for an Elliptic Optimal Control Problem with Exponential Nonlinearity and Discrete Measures
The authors define a generalized derivative as the limit of finite-dimensional directional derivatives of the control-to-state map and use it to obtain first- and second-order necessary optimality conditions for a box-constrained problem governed by an exponential semilinear elliptic equation.