Pitagoras P. de Carvalho, Reginaldo Demarque, Juan Limaco, Luiz Viana
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.
Submitted June 2, 2024. Published February 19, 2025.
Math Subject Classifications: 35K65, 35K59, 93B05, 35K55.
Key Words: Degenerate parabolic equations; quasilinear parabolic equations; controllability; nonlinear parabolic equations.
DOI: 10.58997/ejde.2025.15
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Pitágoras P. de Carvalho Coordenação de Matemática Universidade Estadual do Piauí Teresina, PI, 64002-150, Brazil email: pitagorascarvalho@gmail.com |
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Reginaldo Demarque Departamento de Ciências da Natureza Universidade Federal Fluminense Rio das Ostras, RJ, 28895-532, Brazil email: reginaldodr@id.uff.br |
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Juan L&icute;imaco Departamento de Matemática Aplicada Universidade Federal Fluminense Niterói, RJ, 24210-201, Brazil email: jlimaco@id.uff.br |
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Luiz Viana Departamento de Análise Universidade Federal Fluminense Niterói, RJ, 24210-2010, Brazil email: luizviana@id.uff.br |
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