Fernández Cara, EnriqueLímaco, JuanMarín Gayte, Irene2025-01-282025-01-282021-01-27Fernández Cara, E., Límaco, J. y Marín Gayte, I. (2021). Theoretical and numerical local null controllability of a quasi-linear parabolic equation in dimensions 2 and 3. Journal of the Franklin Institute. https://doi.org/10.1016/j.jfranklin.2021.01.031.0016-00321879-2693https://hdl.handle.net/11441/167725This paper is devoted to the theoretical and numerical analysis of the null controllability of a quasi-linear parabolic equation. First, we establish a local controllability result. The proof relies on an appropriate inverse function argument. Then, we formulate an iterative algorithm for the computation of the null control and we prove a convergence result. Finally, we illustrate the analysis with some numerical experiments.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Quasi-linear parabolic PDEsNull controllabilityIterative algorithms for control problemsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jfranklin.2021.01.031