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 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.展开更多
基金Project supported by the ITN FIRST of the Seventh Framework Programme of the European Community (No. 238702)the ERC advanced grant 266907 (CPDENL) of the 7th Research Framework Programme (FP7)+1 种基金DGISPI of Spain (Project MTM2011-26119)the Research Group MOMAT(No. 910480) supported by UCM
文摘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.
