Null Controllability for Degenerate Parabolic Operators
Null Controllability for Degenerate Parabolic Operators
Null Controllability for Degenerate Parabolic Operators
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difficulties in degenerate case<strong>for</strong> degenerate parabolic equations:• observability (⇒ null controllability) may fail(<strong>for</strong> violent degeneracies)• φ in Carleman must be adapted to degeneracy• Carleman’s estimate up to higher order terms• Hardy’s inequality essential α ≠ 1∫∫d α−2Γw 2 dx ≤ C dΓ α |∇w|2 dxOO