Existence of an optimal control for a semilinear evolution equation with unbounded operator
DOI10.1134/S0965542524700362zbMATH Open1541.49003MaRDI QIDQ6556261
Publication date: 17 June 2024
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
nonlinear wave equationnonlinear heat equationexistence of optimal controlsemilinear evolution equation with unbounded operator in Hilbert space
Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear elliptic equations (35J61)
Cites Work
- Differentiation of a functional in the problem of parametric coefficient optimization in the global electric circuit equation
- Functional analysis, Sobolev spaces and partial differential equations
- Semigroups of linear operators and applications to partial differential equations
- Operator equations of the second kind: theorems on the existence and uniqueness of the solution and on the preservation of solvability
- Existence and uniqueness of optimal control to the Navier–Stokes equations
- On the existence of optimal control in the problem of optimizing the lowest coefficient of a semilinear evolutionary equation
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