dc.creator | NGuyen, Huy Tuan | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Khanh Van, Phan Thi | es |
dc.creator | Van Au, Vo | es |
dc.date.accessioned | 2022-03-03T13:12:57Z | |
dc.date.available | 2022-03-03T13:12:57Z | |
dc.date.issued | 2022-01-10 | |
dc.identifier.citation | NGuyen, H.T., Caraballo Garrido, T., Khanh Van, P.T. y Van Au, V. (2022). On a terminal value problem for parabolic reaction–diffusion systems with nonlocal coupled diffusivity terms. Communications in nonlinear science and numerical simulation, 108, 106248-1-106248-29. | |
dc.identifier.issn | 1007-5704 | es |
dc.identifier.uri | https://hdl.handle.net/11441/130376 | |
dc.description.abstract | In this article, we are interested in investigating the nonlocal nonlinear reaction–
diffusion system with final conditions. This problem is called backward in time problem,
or terminal value problem which is understood as redefining the previous distributions
when the distribution data at the terminal observation are known. There are three main
goals presented in this paper. First, we prove that the problem is ill-posed (often called as
unstable property) in the sense of Hadamard. Our next propose is to provide a modified
quasi-reversibility model to stabilize the ill-posed problem. Using some techniques and
tools of Faedo–Galerkin method, we prove the existence of the unique weak solution
of the regularized problem. Further, we investigate error estimates between the sought
solution and the regularized solution in L2(Ω)− and H1(Ω)− norms. The final aim of
this paper is to give some numerical results to demonstrate that our method is useful
and effective. | es |
dc.format | application/pdf | es |
dc.format.extent | 29 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Communications in nonlinear science and numerical simulation, 108, 106248-1-106248-29. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Inverse problem | es |
dc.subject | Nonlocal diffusion | es |
dc.subject | Nonlinear reaction | es |
dc.subject | Ill-posed problem | es |
dc.subject | Population density | es |
dc.subject | Quasi-reversibility method | es |
dc.subject | Faedo–Galerkin | es |
dc.title | On a terminal value problem for parabolic reaction–diffusion systems with nonlocal coupled diffusivity terms | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricos | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.cnsns.2021.106248 | es |
dc.identifier.doi | 10.1016/j.cnsns.2021.106248 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | Communications in nonlinear science and numerical simulation | es |
dc.publication.volumen | 108 | es |
dc.publication.initialPage | 106248-1 | es |
dc.publication.endPage | 106248-29 | es |