{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:41:12Z","timestamp":1740134472518,"version":"3.37.3"},"reference-count":0,"publisher":"Wiley","issue":"14","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["Y2001E03"],"award-info":[{"award-number":["Y2001E03"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>This paper deals with an inverse problem of determining a\nnonlinear source term in a quasilinear diffusion equation with\noverposed final observations. Applying integral identity methods,\ndata compatibilities are deduced by which the inverse source\nproblem here is proved to be reasonable and solvable.\nFurthermore, with the aid of an integral identity that connects\nthe unknown source terms with the known data, a conditional\nstability is established.<\/jats:p>","DOI":"10.1155\/s0161171204211383","type":"journal-article","created":{"date-parts":[[2004,3,29]],"date-time":"2004-03-29T06:38:40Z","timestamp":1080542320000},"page":"741-753","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Determination of a nonlinear source term in a diffusion equationwith final observations"],"prefix":"10.1155","volume":"2004","author":[{"given":"Gongsheng","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yichen","family":"Ma","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kaitai","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2004,3,28]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/398451.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204211383","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T20:02:00Z","timestamp":1723060920000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204211383"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"14","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204211383"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204211383","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2002-11-25","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-03-28","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}