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• W2174815075 abstract "We consider the one-dimensional degenerate parabolic equation $$ u_t - (x^alpha u_x)_x =0 qquad xin(0,1), t in (0,T) ,$$ controlled by a boundary force acting at the degeneracy point $x=0$. First we study the reachable targets at some given time $T$ using $H^1$ controls, extending the moment method developed by Fattorini and Russell to this class of degenerate equations. Then we investigate the controllability cost to drive an initial condition to rest, deriving optimal bounds with respect to $alpha$ and deducing that the cost blows up as $alpha to 1^-$." @default.
• W2174815075 created "2016-06-24" @default.
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• W2174815075 date "2015-11-21" @default.
• W2174815075 modified "2023-09-27" @default.
• W2174815075 title "The cost of controlling degenerate parabolic equations by boundary controls" @default.
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