Fractional powers and third order in time differential equations

Palestras e Seminários

24/09/2024

14:00

Online / à distância

Palestrante: Lucas Araújo Santos

https://us02web.zoom.us/j/84098904697?pwd=RUJ1R2EvSnhZRFk3K1FmNWd6ZjlEdz09

Responsável: Maykel Belluzi (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)

Seminário em sistemas dinâmicos não-lineares

Resumo: In this work, we investigate approximations of ill-posed linear evolution equations of third order in time, governed by fractional powers. We provide explicit calculations of the fractional powers of matrix operators associated with these equations and identify the exponent values that transform the original problem into a well-posed one. This summary is part of my doctoral thesis and the article titled "Fractional Powers Approach of Operators for Abstract Evolution Equations of Third Order in Time," co-authored with Flank D. M. Bezerra and published in the Journal of Differential Equations.

Referências:

Bezerra, F. D. M., & Santos, L. A. (2020). Fractional powers approach of operators for abstract evolution equations of third order in time. Journal of Differential Equations, 269, 5661–5679.

Bezerra, F. D. M., Santos, L. A., & Carvalho, A. N. (2022). Well-posedness for some third-order evolution differential equations: A semigroup approach. Journal of Evolution Equations, 22, 1–18.

Bezerra, F. D. M., & Santos, L. A. (2022). Chebyshev polynomials for higher order differential equations and fractional powers. Mathematische Annalen, 2022, x.

Bezerra, F. D. M., Carvalho, A. N., Santos, L. A., & Takaessu Junior, C. R. Spectral analysis for some third-order differential equations: A semigroup approach. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze.

Link para acessar a transmissão: https://us02web.zoom.us/j/84098904697?pwd=RUJ1R2EvSnhZRFk3K1FmNWd6ZjlEdz09

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Fractional powers and third order in time differential equations

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