130689 20240130150402.0 doi 10.1016/j.jmaa.2021.125137 sideral 123940 ART-2021-123940 eng Abadias, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 Large time behaviour for the heat equation on Z, moments and decay rates 2021 The paper is devoted to understand the large time behaviour and decay of the solution of the discrete heat equation in the one dimensional mesh Z on lp spaces, and its analogies with the continuous-space case. We do a deep study of the moments of the discrete gaussian kernel (which is given in terms of Bessel functions), in particular the mass conservation principle; that is reflected on the large time behaviour of solutions. We prove asymptotic pointwise and lp decay results for the fundamental solution. We use that estimates to get rates on the lp decay and large time behaviour of solutions. For the l2 case, we get optimal decay by use of Fourier techniques. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E26-17R info:eu-repo/grantAgreement/ES/MCYTS-MTM2016-77710-P info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00 info:eu-repo/grantAgreement/ES/UZ/JIUZ-2019-CIE-01 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.417 2021 MATHEMATICS 77 / 333 = 0.231 2021 Q1 T1 MATHEMATICS, APPLIED 127 / 267 = 0.476 2021 Q2 T2 0.859 2021 Applied Mathematics 2021 Q1 Analysis 2021 Q1 2.6 2021 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion González-Camus, J. Miana, Pedro José Universidad de Zaragoza (orcid)0000-0001-9430-343X Pozo, J.C. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 500, 2 (2021), 125137 [25 pp] J. math. anal. appl. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 0022-247X 495827 http://zaguan.unizar.es/record/130689/files/texto_completo.pdf Versión publicada 1924968 http://zaguan.unizar.es/record/130689/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:130689 articulos driver 2024-01-30-14:08:16 ARTICLE