[
Ben Belgacem, F., El Fekih, H. and Raymond, J. P. (2003) A penalized Robin approach for solving a parabolic equation with nonsmooth Dirichlet boundary conditions. Asymptotic Anal., 34, 121–136.
]Search in Google Scholar
[
Bergounioux, M. and Tröltzsch, F. (1999) Optimal control of semilinear parabolic equations with state-constraints of Bottleneck type. ESAIM: Control, Optim. Calc. Var. 4, 595–608.10.1051/cocv:1999124
]Search in Google Scholar
[
Boukrouche, M. and Tarzia, D. A. (2013) Convergence of optimal control problems governed by second kind parabolic variational inequalities. J. Control Theory Appl. 11, 422–427.10.1007/s11768-013-2155-2
]Search in Google Scholar
[
Brézis, H. (1972) Problèmes unilatéraux. Journal de Mathématiques Pures et Appliquées, 51(1), 1–162.
]Search in Google Scholar
[
Chrysafinos, K., Gunzburger, M. D. and Hou L. S. (2006) Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE. J. Math. Anal. Appl. 323, 891–912.10.1016/j.jmaa.2005.10.053
]Search in Google Scholar
[
Chrysafinos, K. and Hou, L. S. (2017) Analysis and approximations of the evolutionary Stokes equations with inhomogeneous boundary and divergence data using a parabolic saddle point formulation. ESAIM: Mathematical Modelling and Numerical Analysis 51, 1501–1526.10.1051/m2an/2016070
]Search in Google Scholar
[
Duvaut, G. and Lions, J. L. (1972) Les inéquations en mécanique et en physique. Paris: Dunod.
]Search in Google Scholar
[
Gariboldi, C. M. and Tarzia, D. A. (2008) Convergence of boundary optimal control problems with restrictions in mixed elliptic Stefan-like problems. Adv. in Diff. Eq. and Control Processes, 1(2), 113-132.
]Search in Google Scholar
[
Gariboldi, C. M. and Tarzia, D. A. (2015) Existence, uniqueness and convergence of simultaneous distributed-boundary optimal control problems. Control and Cybernetics, 44, 5–17.
]Search in Google Scholar
[
Gonzalez, R. L. V. and Tarzia, D. A. (1990) Optimization of heat flux in domains with temperature constraints. Journal of Optimization Theory and Applications, 65(2), 245–256.10.1007/BF01102344
]Search in Google Scholar
[
Gunzburger, M. D. and Hou, S. L. (1992) Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of boundary stresses. SIAM J. Numer. Anal. 29(2), 390–424.10.1137/0729024
]Search in Google Scholar
[
Kinderleher, D. and Stampacchia, G. (2000) An Introduction to Variational Inequalities and Their Applications. SIAM, Philadelphia.10.1137/1.9780898719451
]Search in Google Scholar
[
Lions, J.L. (1968) Contrôle optimal de systèmes gouvernés par des équations aux drives partielles. Dunod, Paris.
]Search in Google Scholar
[
Menaldi, J. and Tarzia, D. A. (2007) A distributed parabolic control with mixed boundary conditions. Asymptotic Analysis 52, 227–241.
]Search in Google Scholar
[
Sener, S. S. and Subasi, M. (2015) On a Neumann boundary control in a parabolic system. Boundary Value Problems, 2015:166, 1–12.10.1186/s13661-015-0430-5
]Search in Google Scholar
[
Sweilam, N. H. and Abd-Elal, L. F. (2003) A computational approach for optimal control systems goberned by parabolic variational inequalities. Journal of Computational Mathematics 21:6, 815–824.
]Search in Google Scholar
[
Tarzia, D. A., Bollo, C. M. and Gariboldi, C. M. (2020) Convergence of simultaneous distributed-boundary parabolic optimal control problems. Evolution Equations and Control Theory. 9(4), 1187–1201.10.3934/eect.2020045
]Search in Google Scholar
[
Tröltzsch, F. (2010) Optimal Control of Partial Differential Equations. Theory, Methods and Applications. American Math. Soc., Providence.10.1090/gsm/112/07
]Search in Google Scholar
[
Wang, L. and Yan, Q. (2019) Optimal control problem for exact synchronization of parabolic system. Mathematical Control and Related Fields 9(3), 411–424.10.3934/mcrf.2019019
]Search in Google Scholar