118705 20240319080949.0 doi 10.3390/math10173128 sideral 129847 ART-2022-129847 eng Abadias, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 Asymptotic behavior for the discrete in time heat equation 2022 Access copy available to the general public Unrestricted In this paper, we investigate the asymptotic behavior and decay of the solution of the discrete in time N-dimensional heat equation. We give a convergence rate with which the solution tends to the discrete fundamental solution, and the asymptotic decay, both in Lp(RN). Furthermore, we prove optimal L2-decay of solutions. Since the technique of energy methods is not applicable, we follow the approach of estimates based on the discrete fundamental solution which is given by an original integral representation and also by MacDonald’s special functions. As a consequence, the analysis is different to the continuous in time heat equation and the calculations are rather involved. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.4 2022 MATHEMATICS 23 / 329 = 0.07 2022 Q1 T1 0.446 2022 Computer Science (miscellaneous) 2022 Q2 Mathematics (miscellaneous) 2022 Q2 Engineering (miscellaneous) 2022 Q2 3.5 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Alvarez, Edgardo 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 10, 17 (2022), 3128 [22 pp.] Mathematics (Basel) Mathematics 2227-7390 947174 http://zaguan.unizar.es/record/118705/files/texto_completo.pdf Versión publicada 1971344 http://zaguan.unizar.es/record/118705/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:118705 articulos driver 2024-03-18-12:54:18 ARTICLE