Feedback stabilization of semilinear heat equations

Abstract and Applied Analysis

Volumn 2003, Issue 12, 2003, Pages 697-714

  Barbu, V ^a   Wang, G ^b  

^a ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

^b CENTRAL CHINA NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842449632     PISSN: 10853375     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1085337503212100     Document Type: Article

References (8)

1. V. Barbu, Controllability of parabolic and Navier-Stokes equations, Sci. Math. Jpn. 56 (2002), no. 1, 143-211.
2. _, Feedback stabilization of Navier-Stokes equations, ESAIM COCV 9 (2003), 197-206.
3. A. V. Fursikov and O. Yu. Imanuvilov, Controllability of Evolution Equations, Lecture Notes Series, vol. 34, Seoul National University, Seoul, 1996.
4. D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, vol. 840, Springer-Verlag, Berlin, 1981.
5. I. Lasiecka and R. Triggiani, Control Theory for Partial Differential Equations: Continuous and Approximation Theories. I, Encyclopedia of Mathematics and Its Applications, vol. 74, Cambridge University Press, Cambridge, 2000.
6. J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Die Grundlehren der mathematischen Wissenschaften, vol. 170, Springer-Verlag, New York, 1971.
7. J.-L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications. Vol. I, Die Grundlehren der mathematischen Wissenschaften, vol. 181, Springer-Verlag, New York, 1972.
8. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences, vol. 44, Springer-Verlag, New York, 1983.