Optimality Conditions for Semilinear Parabolic Equations with Controls in Leading Term

Details Optimality Conditions for Semilinear Parabolic Equations with Controls in Leading Term Optimality Conditions for Semilinear Parabolic Equations with Controls in Leading Term

2010-08-19

arxiv.org/abs/1008.3360v1

Mathematics

Optimization and Control

22 apges, 1 figures

Scientific paper

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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