000161084 001__ 161084
000161084 005__ 20251017144625.0
000161084 0247_ $$2doi$$a10.1016/j.jde.2025.113465
000161084 0248_ $$2sideral$$a144241
000161084 037__ $$aART-2025-144241
000161084 041__ $$aeng
000161084 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, Luciano$$uUniversidad de Zaragoza
000161084 245__ $$aEnd-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces
000161084 260__ $$c2025
000161084 5060_ $$aAccess copy available to the general public$$fUnrestricted
000161084 5203_ $$aIn 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.
000161084 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/PID2022-137294NB-I00$$9info:eu-repo/grantAgreement/ES/DGA/E48-23R
000161084 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttps://creativecommons.org/licenses/by-nc/4.0/deed.es
000161084 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000161084 700__ $$aDe León-Contreras, Marta
000161084 700__ $$0(orcid)0000-0003-4189-0268$$aMahillo, Alejandro$$uUniversidad de Zaragoza
000161084 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000161084 773__ $$g440 (2025), 113465 [43 pp.]$$pJ. differ. equ.$$tJOURNAL OF DIFFERENTIAL EQUATIONS$$x0022-0396
000161084 8564_ $$s689740$$uhttps://zaguan.unizar.es/record/161084/files/texto_completo.pdf$$yVersión publicada
000161084 8564_ $$s1414069$$uhttps://zaguan.unizar.es/record/161084/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000161084 909CO $$ooai:zaguan.unizar.es:161084$$particulos$$pdriver
000161084 951__ $$a2025-10-17-14:23:42
000161084 980__ $$aARTICLE