Controllability of nonlinear degenerate parabolic cascade systems

Controllability of nonlinear degenerate parabolic cascade systems

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This article studies of null controllability property of nonlinear coupled one dimensional degenerate parabolic equations.These equations form a cascade system, that is, the solution of the raspberry hershey kisses first equation acts as a control in the second equation and the control function acts only directly on the first equation.We prove essie win me over positive null controllability results when the control and a coupling set have nonempty intersection.