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∂Ψ

∂

t

=

log

det

∇2Ψ

−

log

ρ

0(ξ )

ρ

1(∇Ψ)

in

Ωc × [0,∞),

∇

Ψ · n = ξ · non ∂Ωc,

Ψ(ξ,

η,

0) = 1

2

ξ

2 + η2

in

Ωc,

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