11.07.2015 Views

Null Controllability for Degenerate Parabolic Operators

Null Controllability for Degenerate Parabolic Operators

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degenerate parabolic operatorsO ⊂ R nwherewithbounded⎧⎪⎨ u t − Lu = f in O×]0, T [u(x, 0) = u 0 (x) x ∈ O⎪⎩(possibly) + b. c. on ∂O×]0, T [⎧⎪⎨ div(A(x)∇u) + lower order tmsLu = or⎪⎩Tr [A(x)∇ 2 u] + lower order tmsA(x) > 0 in O but A(x) ≥ 0 on ∂O

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