Free Access
Issue |
ESAIM: COCV
Volume 22, Number 3, July-September 2016
|
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Page(s) | 811 - 831 | |
DOI | https://doi.org/10.1051/cocv/2015030 | |
Published online | 27 May 2016 |
- G. Da Prato and J. Zabczyk, Stochastic Equations in Infinite Dimensions. Cambridge University Press, Cambridge (1992). [Google Scholar]
- Y. Hu and S. Peng, Adapted solution of backward stochastic evolution equations. Stoch. Anal. Appl. 9 (1991) 445–459. [CrossRef] [Google Scholar]
- D. Jerison and G. Lebeau, Nodal sets of sums of eigenfunctions, in: Harmonic Analysis and Partial Differential Equations. Chicago Lectures in Math. Univ. Chicago Press, Chicago, IL (1999) 223–239. [Google Scholar]
- G. Lebeau and L. Robbiano, Contrôle exact de l’équation de la chaleur. Commun. Partial Differ. Equ. 20 (1995) 335–336. [Google Scholar]
- G. Lebeau and E. Zuazua, Null controllability of a system of linear thermoelasticity. Arch. Rational Mech. Anal. 141 (1998) 297–329. [Google Scholar]
- J.L. Lions, Optimal Control of Systems Governed by Partial Differential Equations. Springer-Verlag, Berlin, Heidelberg, New York (1971). [Google Scholar]
- Q. Lü, Observation and control for stochastic partial differential equations. Ph.D. thesis, School of Mathematics. Sichuan University, Chengdu (2010). [Google Scholar]
- Q. Lü, Bang-bang principle of time optimal controls and null controllability of fractional order parabolic equations. Acta Math. Sin. (Engl. Ser.) 26 (2010) 2377–2386. [Google Scholar]
- Q. Lü, Some results on the controllability of forward stochastic heat equations with control on the drift. J. Funct. Anal. 260 (2011) 832–851. [CrossRef] [MathSciNet] [Google Scholar]
- Q. Lü and G. Wang, On the existence of time optimal controls with constraints of the rectangular type for heat equations. SIAM J. Control Optim. 49 (2011) 1124–1149. [CrossRef] [MathSciNet] [Google Scholar]
- Q. Lü and Z. Yin, The L∞-null controllability of parabolic equation with equivalued surface boundary conditions. Asymptot. Anal. 83 (2013) 355–378. [MathSciNet] [Google Scholar]
- N.I. Mahmudov and M.A. McKibben, On backward stochastic evolution equations in Hilbert spaces and optimal control. Nonlinear Anal. 67 (2007) 1260–1274. [CrossRef] [MathSciNet] [Google Scholar]
- M. Renardy and R.C. Rogers, An Introduction to Partial Differential Equations, 2nd edn. Vol. 13 of Texts in Applied Mathematics. Springer-Verlag, New York (2004). [Google Scholar]
- G. Wang, L∞-null controllability for the heat equation and its consequences for the time optimal control problem. SIAM J. Control Optim. 47 (2008) 1701–1720. [CrossRef] [MathSciNet] [Google Scholar]
- Z.C. Zhou, Observability estimate and null controllability for one-dimensional fourth order parabolic equation. Taiwanese J. Math. 16 (2012) 1991–2017. [MathSciNet] [Google Scholar]
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