Fernández-Cara E. , Límaco J. , MARÍN GAYTE, IRENE
Si
J Franklin Inst
Article
Científica
4.246
1.238
01/01/2021
2-s2.0-85100996806
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. © 2021 The Franklin Institute
Iterative methods; Partial differential equations; Convergence results; Inverse functions; Iterative algorithm; Local controllability; Null control; Null controllability; Numerical experiments; Quasi-linear parabolic equations; Controllability