Null controllability of the heat equation on the Heinsenberg group

Null controllability of the heat equation on the Heinsenberg group

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Null controllability of the heat equation on the Heinsenberg group Liviu Ignat Institute of Mathematics of the Romanian Academy Paris, November 2010 Joint work with Enrique Zuazua Liviu Ignat (IMAR) Heat equation on the Heinsenberg group IHP, Paris, November 2010 1 / 37

  • romanian academy

  • liviu ignat

  • heinsenberg group

  • squares vector

  • null controllability

  • cd ?

  • heat equation


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Publié par
Ajouté le 19 juin 2012
Nombre de lectures 24
Langue English
Signaler un abus
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Liviu Ignat
Paris, November 2010 Joint work with Enrique Zuazua
Institute of Mathematics of the Romanian Academy
Null controllability of the heat equation on the Heinsenberg group
73/10
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3
Heat Equation
4
Controlability
5
Carleman inequality
1
Heisenberg Group
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Outline
2
Sum of squares vector fields
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Heisenberg Group
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Carleman inequality
5
Controlability
4
Heat Equation
3
2
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Outline
Sum of squares vector fields
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= (x1+y1, . . . , x2d+y2d, s+u+12dX(xkyd+kyd+kyk). k=1
(x1, . . . , x2d, s)(y1, . . . , y2d, u)
04/37
or
The Heisenbergh groupHdcan be viewed asR2d+1endowed with the group multiplication
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