Cubic boundary feedback exponentially stabilizes 1-D quasilinear parabolic PDEs with finite-time blow-up and gives explicit estimates of the region of attraction, well-posedness, and positivity.
Coussy, Poromechanics, John Wiley & Sons, 2004
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Stabilization of Quasilinear Parabolic Equations by Cubic Feedback at Boundary with Estimated Region of Attraction
Cubic boundary feedback exponentially stabilizes 1-D quasilinear parabolic PDEs with finite-time blow-up and gives explicit estimates of the region of attraction, well-posedness, and positivity.