{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,29]],"date-time":"2024-08-29T09:48:04Z","timestamp":1724924884990},"reference-count":32,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2022,5,1]],"date-time":"2022-05-01T00:00:00Z","timestamp":1651363200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2022,5,1]],"date-time":"2022-05-01T00:00:00Z","timestamp":1651363200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2022,5,1]],"date-time":"2022-05-01T00:00:00Z","timestamp":1651363200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2022,5,1]],"date-time":"2022-05-01T00:00:00Z","timestamp":1651363200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2022,5,1]],"date-time":"2022-05-01T00:00:00Z","timestamp":1651363200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,5,1]],"date-time":"2022-05-01T00:00:00Z","timestamp":1651363200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2022,5]]},"DOI":"10.1016\/j.cnsns.2021.106248","type":"journal-article","created":{"date-parts":[[2022,1,10]],"date-time":"2022-01-10T16:54:59Z","timestamp":1641833699000},"page":"106248","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":3,"special_numbering":"C","title":["On a terminal value problem for parabolic reaction\u2013diffusion systems with nonlocal coupled diffusivity terms"],"prefix":"10.1016","volume":"108","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-6962-1898","authenticated-orcid":false,"given":"Nguyen Huy","family":"Tuan","sequence":"first","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0003-4697-898X","authenticated-orcid":false,"given":"Tom\u00e1s","family":"Caraballo","sequence":"additional","affiliation":[]},{"given":"Phan Thi Khanh","family":"Van","sequence":"additional","affiliation":[]},{"given":"Vo Van","family":"Au","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.cnsns.2021.106248_b1","series-title":"Bioeng. and bioins. sys. II","article-title":"Modeling brain electrical activity in epilepsy by reaction-diffusion cellular neural networks","volume":"vol. 5839","author":"Gollas","year":"2005"},{"key":"10.1016\/j.cnsns.2021.106248_b2","doi-asserted-by":"crossref","first-page":"934","DOI":"10.1016\/j.camwa.2012.01.056","article-title":"Synchronization and control of coupled Reaction-Diffusion systems of FitzHugh\u2013Nagumo type","volume":"64","author":"Ambrosio","year":"2012","journal-title":"Comput Math Appl"},{"key":"10.1016\/j.cnsns.2021.106248_b3","first-page":"1","article-title":"Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications","author":"P\u00e9rez-Garci\u00e1","year":"2014","journal-title":"Math Med Biol"},{"key":"10.1016\/j.cnsns.2021.106248_b4","series-title":"Systems of nonlinear partial differential equations","author":"Leung","year":"1989"},{"key":"10.1016\/j.cnsns.2021.106248_b5","unstructured":"J\u00fcrgen Jost. Mathematical methods in biology and neurobiology. Springer."},{"issue":"25","key":"10.1016\/j.cnsns.2021.106248_b6","doi-asserted-by":"crossref","first-page":"4170","DOI":"10.1002\/anie.200905513","article-title":"Reaction -diffusion systems in intracellular molecular transport and control","volume":"49","author":"Siowling","year":"2010","journal-title":"Angew Chem, Int Ed Engl"},{"key":"10.1016\/j.cnsns.2021.106248_b7","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/S0377-0427(98)00105-8","article-title":"Diffusion models with blow up","volume":"97","author":"Lacey","year":"1998","journal-title":"J Comput Appl Math"},{"issue":"5","key":"10.1016\/j.cnsns.2021.106248_b8","doi-asserted-by":"crossref","first-page":"5695","DOI":"10.1137\/17M1158379","article-title":"Splitting schemes and segregation in reaction cross-diffusion systems","volume":"50","author":"Carrillo","year":"2018","journal-title":"SIAM J Math Anal"},{"issue":"5","key":"10.1016\/j.cnsns.2021.106248_b9","first-page":"1801","article-title":"Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution","volume":"22","author":"Caraballo","year":"2017","journal-title":"Discrete Contin Dyn Syst Ser B"},{"issue":"1","key":"10.1016\/j.cnsns.2021.106248_b10","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/s11071-015-2200-4","article-title":"Robustness of nonautonomous attractors for a family of nonlocal reaction\u2013diffusion equations without uniqueness","volume":"84","author":"Caraballo","year":"2016","journal-title":"Nonlinear Dyn"},{"issue":"5","key":"10.1016\/j.cnsns.2021.106248_b11","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/s00526-018-1402-2","article-title":"Ground states in the diffusion-dominated regime","volume":"57","author":"Carrillo","year":"2018","journal-title":"Calc Var Partial Differential Equations"},{"key":"10.1016\/j.cnsns.2021.106248_b12","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.jtbi.2019.04.023","article-title":"A population dynamics model of cell\u2013cell adhesion incorporating population pressure and density saturation","volume":"474","author":"Carrillo","year":"2019","journal-title":"J Theoret Biol"},{"issue":"1","key":"10.1016\/j.cnsns.2021.106248_b13","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/S0362-546X(97)00455-0","article-title":"On a nonlocal elliptic equation with decreasing nonlinearity arising in plasma physics and heat conduction","volume":"32","author":"Carrillo","year":"1998","journal-title":"Nonlinear Anal TMA"},{"key":"10.1016\/j.cnsns.2021.106248_b14","doi-asserted-by":"crossref","first-page":"1075","DOI":"10.57262\/die\/1367438220","article-title":"Rates of decay of a nonlocal beam equation","volume":"10","author":"Lange","year":"1997","journal-title":"Differential Integral Equations"},{"key":"10.1016\/j.cnsns.2021.106248_b15","series-title":"Etudes de quelques probl\u00e8mes paraboliques non locaux","author":"Lovat","year":"1995"},{"key":"10.1016\/j.cnsns.2021.106248_b16","doi-asserted-by":"crossref","first-page":"4619","DOI":"10.1016\/S0362-546X(97)00169-7","article-title":"Some remarks on nonlocal elliptic and parabolic problems","volume":"30","author":"Chipot","year":"1997","journal-title":"Nonlinear Anal"},{"key":"10.1016\/j.cnsns.2021.106248_b17","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1023\/A:1009706118910","article-title":"On the asymptotic behaviour of some nonlocal problems","volume":"3","author":"Chipot","year":"1999","journal-title":"Positivity"},{"issue":"4","key":"10.1016\/j.cnsns.2021.106248_b18","doi-asserted-by":"crossref","first-page":"1527","DOI":"10.3934\/cpaa.2013.12.1527","article-title":"Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions","volume":"12","author":"Antontsev","year":"2013","journal-title":"Commun Pure Appl Anal"},{"key":"10.1016\/j.cnsns.2021.106248_b19","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/BF03377368","article-title":"Asymptotic behaviour of the solutions of nonlocal p-Laplace equations depending on the Lp norm of the gradient","volume":"1","author":"Chipot","year":"2015","journal-title":"J Elliptic Parabol Equ"},{"issue":"2","key":"10.1016\/j.cnsns.2021.106248_b20","doi-asserted-by":"crossref","first-page":"997","DOI":"10.1016\/j.jmaa.2017.11.013","article-title":"Asymptotic behaviour of nonlocal p-Laplacian reaction\u2013diffusion problems","volume":"459","author":"Caraballo","year":"2018","journal-title":"J Math Anal Appl"},{"key":"10.1016\/j.cnsns.2021.106248_b21","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1016\/j.na.2017.03.010","article-title":"On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion","volume":"159","author":"Berendsen","year":"2017","journal-title":"Nonlinear Anal"},{"issue":"2","key":"10.1016\/j.cnsns.2021.106248_b22","doi-asserted-by":"crossref","first-page":"687","DOI":"10.1007\/s00332-016-9348-z","article-title":"Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures","volume":"27","author":"Bruna","year":"2017","journal-title":"J Nonlinear Sci"},{"issue":"3","key":"10.1016\/j.cnsns.2021.106248_b23","doi-asserted-by":"crossref","first-page":"3210","DOI":"10.1137\/17M1125716","article-title":"Sorting phenomena in a mathematical model for two mutually attracting\/repelling species","volume":"50","author":"Burger","year":"2018","journal-title":"SIAM J Math Anal"},{"issue":"1","key":"10.1016\/j.cnsns.2021.106248_b24","first-page":"35","article-title":"Existence and uniqueness results for a class of nonlocal elliptic and parabolic problems. Advances in quenching","volume":"8","author":"Chipot","year":"2001","journal-title":"Dyn Contin Discrete Impuls Syst Ser A Math Anal"},{"key":"10.1016\/j.cnsns.2021.106248_b25","first-page":"301","article-title":"Asymptotic behavior of solutions to nonlinear parabolic equations with nonlocal terms","volume":"45","author":"Zheng","year":"2005","journal-title":"Asymptot Anal"},{"key":"10.1016\/j.cnsns.2021.106248_b26","article-title":"A global attractor for a nonlocal parabolic problem","volume":"21","author":"Simsen","year":"2014","journal-title":"Nonlinear Stud"},{"key":"10.1016\/j.cnsns.2021.106248_b27","doi-asserted-by":"crossref","DOI":"10.1093\/imamat\/hxv041","article-title":"A reaction\u2013diffusion for the nonlocal coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions","author":"Almeida","year":"2016","journal-title":"IMA J Appl Math Adv Acc"},{"issue":"5","key":"10.1016\/j.cnsns.2021.106248_b28","doi-asserted-by":"crossref","first-page":"2431","DOI":"10.3934\/dcds.2017105","article-title":"Parabolic reaction\u2013diffusion systems with nonlocal coupled diffusivity terms","volume":"37","author":"Ferreira","year":"2017","journal-title":"Discrete Contin Dyn Syst"},{"key":"10.1016\/j.cnsns.2021.106248_b29","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1002\/cpa.3160130402","article-title":"Continuous dependence on data for solutions of partial differential equations with a prescribed bound","volume":"13","author":"John","year":"1960","journal-title":"Comm Pure Appl Math"},{"key":"10.1016\/j.cnsns.2021.106248_b30","series-title":"M\u00e9thode de Quasi-r\u00e9versibilit\u00e9 et Applications","author":"Latt\u00e8s","year":"1967"},{"key":"10.1016\/j.cnsns.2021.106248_b31","doi-asserted-by":"crossref","DOI":"10.1088\/1361-6420\/aa635f","article-title":"Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction","author":"Tuan","year":"2017","journal-title":"Inverse Problems"},{"key":"10.1016\/j.cnsns.2021.106248_b32","article-title":"The Cauchy problem of coupled elliptic sine\u2013Gordon equations with noise: Analysis of a general kernel-based regularization and reliable tools of computing","author":"Khoa","year":"2016","journal-title":"Comput Math Appl"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570421005001?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570421005001?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,3,25]],"date-time":"2023-03-25T09:34:16Z","timestamp":1679736856000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570421005001"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5]]},"references-count":32,"alternative-id":["S1007570421005001"],"URL":"http:\/\/dx.doi.org\/10.1016\/j.cnsns.2021.106248","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2022,5]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"On a terminal value problem for parabolic reaction\u2013diffusion systems with nonlocal coupled diffusivity terms","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2021.106248","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2022 Elsevier B.V. All rights reserved.","name":"copyright","label":"Copyright"}],"article-number":"106248"}}
