End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces

Abadias, Luciano; Mahillo, Alejandro; De León-Contreras, Marta

doi:10.1016/j.jde.2025.113465

End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces

Abadias, Luciano (Universidad de Zaragoza) ; De León-Contreras, Marta ; Mahillo, Alejandro (Universidad de Zaragoza)

Resumen: In this paper we prove both end-point maximal -regularity for the discrete parabolic Cauchy problem and regularity of some non-local operators in discrete Besov spaces. To that aim, we prove characterizations of the discrete Besov spaces in terms of the heat and Poisson semigroups associated with the discrete Laplacian. Moreover, we provide new estimates for the derivatives of the discrete heat kernel and semigroup which are of independent interest.
Idioma: Inglés
DOI: 10.1016/j.jde.2025.113465
Año: 2025
Publicado en: JOURNAL OF DIFFERENTIAL EQUATIONS 440 (2025), 113465 [43 pp.]
ISSN: 0022-0396
Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-23R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2022-137294NB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
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Exportado de SIDERAL (2025-10-17-14:23:42)

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End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces