Null-controllability for 1-D degenerate quasilinear parabolic equations
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
Authors
- J. Límaco (ORCID: https://orcid.org/0000-0001-8695-8612)
- Pitágoras Pinheiro de Carvalho (ORCID: https://orcid.org/0000-0003-0949-2921)
- Reginaldo Demarque (ORCID: https://orcid.org/0000-0001-6891-7665)
- Luiz Viana
Institutions
- Universidade Federal Fluminense (BR)
- Universidade Estadual do Piauí (BR)
- Prefeitura Municipal de Rio das Ostras (BR)
Publication Details
- Journal
- Electronic Journal of Differential Equations
- Published
- 2025-02-19
- DOI
- https://doi.org/10.58997/ejde.2025.15
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro