-Insensitizing controls for the linear stochastic Korteweg-de Vries equation
References
- Lions JL. Quelques notions dans l’nalyse et le controle de systemes Xa donnees incompletes [Some notions in the analysis and control of systems with incomplete data]. In: Proceedings of the XIth Congress on DiSerential Equations and Applications/First Congress on Applied Mathematics. University of Malaga, Malaga; 1990. p. 43–44.
- Bodart O, Fabre C. Controls insensitizing the norm of the solution of a semilinear heat equation. J. Math. Anal. Appl. 1995;195:658–683.
- De Teresa L. Controls insensitizing the norm of the solution of a semilinear heat equation in unbiunded domains, ESAIM: Control Optim. Calc. Var. 1997;2:125–149.
- De Teresa L. Insensitizing controls for a semilinear heat equation. Commun. Partial Differ. Equ. 2000;25:39–72.
- Bodart O, González-burgos M, Pérez-García R. Existence of insensitizing controls for a semilinear heat equation with a superlinear nonlinearity. Commun. Partial Differ. Equ. 2004;29:1017–1050.
- Bodart O, González-burgos M, Pérez-García R. A local result on insensitizing controls for a semilinear heat equation with nonlinearity boundary Fourier conditions. SIAM J. Control Optim. 2004;43:955–969.
- Bodart O, González-burgos M, Pérez-García R. Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient. Nonlinear Anal. 2004;57:687–711.
- Dager R. Insensitizing controls for the 1-D wave equation. SIAM J. Control Optim. 2006;45:1758–1768.
- Micu S, Ortega JH, de Teresa L. An example of ε-insensitizing controls for the heat equation with no intersecting observation and control regions. Appl. Math. Lett. 2004;17:927–932.
- Micu S, Ortega JH, de Teresa L. ε-insensitizing controls for pointwise observations of the heat equation. Syst. Control Lett. 2004;51:407–415.
- Liu X. Global Carleman estimate for stochastic parabolic equations, and its application. ESAIM: Control Optim. Calc. Var. 2014;20:823–839.
- Mahmudov NI, McKibben MA. On backward stochastic evolution equations in Hilbert spaces and optimal control. Nonlinear Anal. 2007;67:1260–1274.
- Da Prato G, Zabczyk J. Stochastic equations in infinite dimensions. Cambridge: Cambridge University Press; 1992.
- Rosier L. Exact boundary controllability for the Korteweg--de Vries equation on a bounded domain. ESAIM: Control Optim. Calc. Var. 1997;2:33–55. doi:10.1051/cocv:1997102.
- Gao P. Carleman estimate and unique continuation property for the linear stochastic Korteweg--de Vries equation. Bull. Aust. Math. Soc. 2014;90:283–294.
- Yan Y, Sun F. Insensitizing controls for a forward stochastic heat equation. J. Math. Anal. Appl. 2011;384:138–150.
- Al-Hussein A. Strong, mild and weak solutions of backward stochastic evolution equations. Random Oper. Stoch. Equ. 2005;13:129–138.
- Gao P. Insensitizing controls for the Cahn–Hilliard type equation. Electron. J. Qual. Theor. Differ. Equ. 2014;35:1–22.
- Tebou L. Some results on the controllability of coupled semilinear wave equations: the desensitizing control case. SIAM J. Control Optim. 2011;49:1221–1238.