Null controllability properties of some degenerate parabolic equations.
Null controllability properties of some degenerate parabolic equations.
Null controllability properties of some degenerate parabolic equations.
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Extensions<br />
◮ more general <strong>degenerate</strong> <strong>parabolic</strong> problem<br />
u t − div (A(x)∇u) + b(x) · ∇u + c(x)u = h(x, t)χ ω ,<br />
when (b, ε 1 ) = O(d Γ (x) α/2 , (b, ε 2 ) = O(1), c bounded : same<br />
results.<br />
◮ weakened assumptions on the degeneracy : (H g (A)) : there<br />
exists <strong>some</strong> α ≥ 0 such that :<br />
λ 1 (x) ∼ d(x, Γ) α as x → Γ,<br />
ε 1 (x) − ν(p Γ (x)) → 0 as x → Γ,<br />
0 < m ≤ λ 2 (x) ≤ M for all x ∈ Ω.<br />
(work in progress)<br />
15/26