Work

Null-controllability for 1-D degenerate quasilinear parabolic equations

Year: 2025

Type: article

Abstract: In this article, we prove local null-controllability for one-dimensional degenerate quasilinear parabolic equations. We apply a well-known local inversion argument used by Fursikov and Imanuvilov. The strategy is to use Carleman estimates, previously obtained for weak and strong degenerate parabolic problems. For more information see https://ejde.math.txstate.edu/Volumes/2025/15/abstr.html

Source: Electronic Journal of Differential Equations

DOI: 10.58997/ejde.2025.15

Authors: Pitágoras De Carvalho, Reginaldo Demarque, Juan Límaco, Luiz Viana

Institutions: Universidade Estadual do Piauí, Universidade Federal Fluminense

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Awards: G1840770272, G2311368543, G6724586927