Global null controllability of the 1-dimensional nonlinear slow diffusion equation

Abstract

The authors prove the global null controllability for the 1-dimensional nonlinear slow diffusion equation by using both a boundary and an internal control. They assume that the internal control is only time dependent. The proof relies on the return method in combination with some local controllability results for nondegenerate equations and rescaling techniques.

Keywords

Nonlinear control / Nonlinear slow diffusion equation / Porous medium equation

References

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