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

作者：Coron Jean Michel^*; Ildefonso Diaz Jesus; Drici Abdelmalek; Mingazzini Tommaso

来源：Chinese Annals of Mathematics Series B, 2013, 34(3): 333-344.

DOI：10.1007/s11401-013-0774-z

• Nonlinear control
• Nonlinear slow diffusion equation
• Porous medium equation

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.

• 出版日期2013-5