A Yamazaki-type estimate to a space-time fractional diffusion equation
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Yamazaki-type estimate, fractional diffusion equation, Mittag-Leffler family, decay in 𝐿𝑝 spaces.Resumo
In this work, we develop the Yamazaki inequality and estimates of the Mittag-Leffler family associated with the space-time fractional diffusion equation in 𝐿𝑝-weak spaces. This result generalizes the inequality given by Yamazaki (2000) for the heat semigroup, which was generalized by Ferreira and VillamizarRoa (2006) for heat semigroup associated with the fractional Laplacian, and Caicedo et al (2021) for the Mittag-Leffler family associated with the time-fractional diffusion equation.
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28-09-2022
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LIMA, M. E. de S.; OLIVEIRA, E. C. de; VIANA, A. da C. A Yamazaki-type estimate to a space-time fractional diffusion equation. C.Q.D. - Revista Eletrônica Paulista de Matemática, Bauru, v. 22, n. 2, 2022. Disponível em: https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/312. Acesso em: 13 nov. 2024.
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Este trabalho está licenciado sob uma licença Creative Commons Attribution 4.0 International License.
