Null controllability of Kolmogorov-type equations

@article{Beauchard2014NullCO,
  title={Null controllability of Kolmogorov-type equations},
  author={Karine Beauchard},
  journal={MCSS},
  year={2014},
  volume={26},
  pages={145-176}
}
We study the null controllability of Kolmogorov-type equations ∂t f + v ∂x f − ∂2 v f = u(t, x, v)1ω(x, v) in a rectangle , under an additive control supported in an open subset ω of . For γ = 1, with periodic-type boundary conditions, we prove that null controllability holds in any positive time, with any control support ω. This improves the previous result by Beauchard and Zuazua (Ann Ins H Poincaré Anal Non Linéaire 26:1793–1815, 2009), in which the control support was a horizontal strip… CONTINUE READING

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Showing 1-10 of 45 references

Contrôle exact de l'équation de la chaleur

G. Lebeau, L. Robbiano
Comm. P.D.E., 20:335 356 • 1995
View 4 Excerpts
Highly Influenced

Carleman estimates for degenerate parabolic equations with first order terms and applications

C Flores, L Teresa
C R Math Acad Sci Paris • 2010

Carleman estimates for degenerate parabolic equations with rst order terms and applications

C. Flores, L. de Teresa
C. R. Math. Acad. Sci. Paris, • 2010
View 1 Excerpt