| Article ID: | iaor201111149 |
| Volume: | 151 |
| Issue: | 3 |
| Start Page Number: | 573 |
| End Page Number: | 588 |
| Publication Date: | Dec 2011 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Jeong Jin-Mun, Ju Eun-Young, Cheon Su-Jin |
| Keywords: | optimization, programming: nonlinear |
In this paper, we study the optimal control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under Lipschitz continuity condition of the nonlinear term, we can obtain the optimal conditions and maximal principles for a given equation, which are described by the adjoint state corresponding to the given equation without the rigorous conditions for the nonlinear term.