Null Controllability for Degenerate Parabolic Operators
Null Controllability for Degenerate Parabolic Operators
Null Controllability for Degenerate Parabolic Operators
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the simplest exampleω =]a, b[⊂⊂]0, 1[ a(x) = x α (α > 0)u t − ( x α u x)x = χ ωf , u(0, x) = u 0 (x)C & Martinez & Vancostenoble (2008)⎧⎪⎨ false α ≥ 2 (→{regional null controllability)n. c.any b.c. 0 ≤ α < 1 weak⎪⎩ true 0 ≤ α < 2Neumann b.c. 1 ≤ α < 2 strongTregional 0 ω 1Figure: regional null controllability