{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:44:22Z","timestamp":1777448662174,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2008,4,1]],"date-time":"2008-04-01T00:00:00Z","timestamp":1207008000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2008,4]]},"abstract":"<jats:p>We investigate the long term behavior for a class of competition\u2013diffusion systems of Lotka\u2013Volterra type for two competing species in the case of low regularity assumptions on the data. Due to the coupling that we consider the system cannot be reduced to a single equation yielding uniform estimates with respect to the inter-specific competition rate parameter. Moreover, in the particular but meaningful case of initial data with disjoint support and Dirichlet boundary data which are time-independent, we prove that as the competition rate goes to infinity the solution converges, along with suitable sequences, to a spatially segregated state satisfying some variational inequalities.<\/jats:p>","DOI":"10.3233\/asy-2008-0868","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:00:27Z","timestamp":1575054027000},"page":"83-103","source":"Crossref","is-referenced-by-count":3,"title":["On the long term spatial segregation for a competition\u2013diffusion system"],"prefix":"10.1177","volume":"57","author":[{"given":"Marco","family":"Squassina","sequence":"first","affiliation":[{"name":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Verona, C\u00e1 Vignal 2, Strada Le Grazie 15, I-37134 Verona, Italy. E-mail: marco.squassina@univr.it"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2008,4,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0868","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2008-0868","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:38:33Z","timestamp":1777379913000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2008-0868"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,4]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2008,4]]}},"alternative-id":["10.3233\/ASY-2008-0868"],"URL":"https:\/\/doi.org\/10.3233\/asy-2008-0868","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,4]]}}}