@article{10902/2209, year = {1997}, url = {http://hdl.handle.net/10902/2209}, abstract = {This paper deals with state-constrained optimal control problems governed by semilinear parabolic equations. We establish a minimum principle of Pontryagin's type. To deal with the state constraints, we introduce a penalty problem by using Ekeland's principle. The key tool for the proof is the use of a special kind of spike perturbations distributed in the domain where the controls are de ned. Conditions for normality of optimality conditions are given.}, publisher = {Society for Industrial and Applied Mathematics}, publisher = {SIAM Journal on Control and Optimization, 1997, 35(4), 1297–1327}, title = {Pontryagin´s principle for state-constrained boundary control problems of semilinear parabolic equations}, author = {Casas Rentería, Eduardo}, }