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An optimal control problem for semilinear parabolic partial differential equations is considered. The control variable appears in the leading term of the equation. Necessary conditions for optimal controls are established by the method of homogenizing spike variation. Results for problems with state constraints are also stated.
An optimal control problem for
semilinear parabolic partial differential equations is considered.
The control variable appears in the leading term of the equation.
Necessary conditions for optimal controls are established by the
method of homogenizing spike variation. Results for problems with
state constraints are also stated.
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