Null Controllability for Degenerate Parabolic Operators
Null Controllability for Degenerate Parabolic Operators
Null Controllability for Degenerate Parabolic Operators
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controlled parabolic equationsω ⊂⊂ O T > 0⎧⎪⎨ u t − div(A(x)∇u) = χ ω (x)f (t, x) in Q T := O×]0, T [u f → u(x, 0) = u 0 (x)x ∈ O⎪⎩(possibly + boundary conditions)• f controlχ ω characteristic function of ω• A(x) = ( a ij (x) ) ni,j=1• a ij = a ji ∈ C(O) ∩ C 1 (O)• positive definite in O (not in O)✬✩✓✏ω✒✑✫O✪