On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth-Reference-Cited by-同舟云学术

On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth

Published:2024-04-22 Issue:2 Volume:24 Page:
ISSN:1424-3199
Container-title:Journal of Evolution Equations
language:en
Short-container-title:J. Evol. Equ.

Author:

Bortolan Matheus Cheque^ORCID,Garcìa-Fuentes Juan^ORCID,Fernandes Juliana^ORCID,Kalita Piotr^ORCID

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Ministerio de Ciencia e Innovación

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Narodowe Centrum Nauki

Fundação de Amparo á Pesquisa do Estado de São Paulo

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00028-024-00966-7.pdf

Reference14 articles.

1. J. Banaśkiewicz, A. N. Carvalho, J. Garcia-Fuentes, and P. Kalita. Autonomous and non-autonomous unbounded attractors in evolutionary problems. Journal of Dynamics and Differential Equations, 2022.

2. N. Ben-Gal. Grow-Up Solutions and Heteroclinics to Infinity for Scalar Parabolic PDEs. PhD thesis, Brown University, Podunk IN, 2010.

3. M. C. Bortolan and J. Fernandes. Sufficient conditions for the existence and uniqueness of maximal attractors for autonomous and nonautonomous dynamical systems. Journal of Dynamics and Differential Equations, 2022.

4. A. N. Carvalho and J. F. S. Pimentel. Autonomous and non-autonomous unbounded attractors under perturbations. Proc. Roy. Soc. Edinburgh Sect. A, 149(4):877–903, 2019.

5. V. V. Chepyzhov. On unbounded invariant sets and attractors of some quasilinear equations and of some systems of parabolic type. Uspekhi Mat. Nauk, 42(5):167–168, 1987.