@article{10902/11155,
year = {2016},
month = {3},
url = {http://hdl.handle.net/10902/11155},
abstract = {Second-order sufficient optimality conditions are considered for a simplified class of semilinear parabolic equations with quadratic objective functional including distributed and terminal observation. Main emphasis is laid on problems where the objective functional does not include a Tikhonov regularization term. Here, standard second-order conditions cannot be expected to hold. For this case, new second-order conditions are established that are based on different types of critical cones. Depending on the choice of this cones, the second-order conditions are sufficient for local minima that are weak or strong in the sense of calculus of variations.},
organization = {The first author was partially supported by Spanish Ministerio de Economía y Competitividad under projects MTM2011-22711 and MTM2014-57531-P. The second is supported by DFG in the framework of the Collaborative Research Center SFB 910,
project B6},
publisher = {Springer Science + Business Media},
publisher = {Vietnam Journal of Mathematics, 2016, 44(1), 181-202},
title = {Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems},
author = {Casas Rentería, Eduardo and Tröltzsch, Fredi},
}