{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:51:52Z","timestamp":1777449112985,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2014,4,1]],"date-time":"2014-04-01T00:00:00Z","timestamp":1396310400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2014,4]]},"abstract":"<jats:p>\n                    In this paper, we study the decay rates of solutions for the generalized Benjamin\u2013Bona\u2013Mahony equation in multi-dimensional space. For initial data in some L\n                    <jats:sup>1<\/jats:sup>\n                    -weighted spaces, we prove faster decay rates of the solutions. More precisely, using the Fourier transform and the energy method, we show the global existence and the convergence rates of the solutions under the smallness assumption on the initial data and we give better decay rates of the solutions. This result improves early works in J. Differential Equations 158(2) (1999), 314\u2013340 and Nonlinear Anal. 75(7) (2012), 3385\u20133392.\n                  <\/jats:p>","DOI":"10.3233\/asy-131191","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:31:26Z","timestamp":1575055886000},"page":"155-164","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Improved decay rates for solutions for a multidimensional generalized Benjamin\u2013Bona\u2013Mahony equation"],"prefix":"10.1177","volume":"86","author":[{"given":"Belkacem","family":"Said-Houari","sequence":"first","affiliation":[{"name":"Division of Mathematical and Computer Sciences and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia. E-mail: saidhouarib@yahoo.fr"}]}],"member":"179","published-online":{"date-parts":[[2014,4,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131191","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131191","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:04Z","timestamp":1777380004000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-131191"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,4]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2014,4]]}},"alternative-id":["10.3233\/ASY-131191"],"URL":"https:\/\/doi.org\/10.3233\/asy-131191","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,4]]}}}