Existence of optimal controls for semilinear elliptic equations without Cesari-type conditions

• Autores: H. Lou
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 45, Nº 1, 2003, págs. 115-132
• Idioma: inglés
• DOI: 10.1017/s1446181100013183
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• Resumen

  • Optimal control problems governed by semilinear elliptic partial differential equations are considered. No Cesari-type conditions are assumed. By proving an existence theorem and the Pontryagin maximum principle of optimal "state-control'' pairs for the corresponding relaxed problems, we establish an existence theorem of optimal pairs for the original problem.