Portal de Periódicos da CAPES

Artigo Produção Nacional Revisado por pares

BIBTEX RIS

Theoretical and numerical local null controllability of a quasi-linear parabolic equation in dimensions 2 and 3

2021; Elsevier BV; Volume: 358; Issue: 5 Linguagem: Inglês

10.1016/j.jfranklin.2021.01.031

1879-2693

Enrique Fernández‐Cara, J. Límaco, Irene Marín-Gayte,

Numerical methods in inverse problems

This 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.