2 problems

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Exponential small-time blow-up conjecture for the null controllability cost
Consider the degenerate parabolic equation on $(-1,1)$ with degeneracy parameter $\alpha\in[0,1)$ , an interior control supported on $(a,b)$ with $0<a<b<1$ , and null controllability…
Conjectureopencontrol-cost degenerate-parabolic-equations null-controllabilityarXiv posted 2 days ago
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The threshold-exponent conjecture for regularization in degenerate parabolic equations
Let $p>2$ and let $a$ be the exponent appearing in the boundary behaviour in … The cited equations describe a solution of a degenerate parabolic equation, with diffusion and time-e…
Conjectureopendegenerate-parabolic-equations regularity-theoryarXiv posted 2 days ago

Exponential small-time blow-up conjecture for the null controllability cost