The necessary condition of the optimality for an optimal control problem for Helmholtz equation with non-local boundary conditions and a nonlinear functional (Q2715840)
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scientific article; zbMATH DE number 1600606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The necessary condition of the optimality for an optimal control problem for Helmholtz equation with non-local boundary conditions and a nonlinear functional |
scientific article; zbMATH DE number 1600606 |
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29 May 2001
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elliptic equation
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necessary conditions for optimality
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optimal control
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nonlocal boundary conditions
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maximum principle
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The necessary condition of the optimality for an optimal control problem for Helmholtz equation with non-local boundary conditions and a nonlinear functional (English)
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The paper considers an optimal control problem for the equation NEWLINE\[NEWLINE\Delta z(x,y)- qz(x, y)= a(x,y) u(x,y)+ b(x,y)NEWLINE\]NEWLINE in a rectangular plane domain with nonlocal boundary conditions of the Bitsadze-Samarskij type. A necessary optimality condition in the form of the maximum principle is given, but the solvability of the adjoint equation is not discussed.
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