{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:19:40Z","timestamp":1753885180863,"version":"3.41.2"},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,3,11]],"date-time":"2021-03-11T00:00:00Z","timestamp":1615420800000},"content-version":"vor","delay-in-days":69,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11801431"],"award-info":[{"award-number":["11801431"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"In this paper, a degenerate parabolic equation u<\/jats:italic>t<\/jats:italic><\/jats:sub> \u2212 div(|x<\/jats:italic>|\u03b8<\/jats:italic><\/jats:sup>\u2207u<\/jats:italic>) = |x<\/jats:italic>|a<\/jats:italic><\/jats:sup>u<\/jats:italic>p<\/jats:italic><\/jats:sup> with p<\/jats:italic> > 1 and \u03b8<\/jats:italic> < 2, a<\/jats:italic> \u2208 \u211d<\/jats:italic>, is considered. Based on rescaling arguments combined with a doubling property, the space\u2010time singularity and decay estimates are established. Moreover, a universal and a priori bound of global nonnegative solutions for the corresponding initial boundary value problem is derived.<\/jats:p>","DOI":"10.1155\/2021\/5517008","type":"journal-article","created":{"date-parts":[[2021,3,11]],"date-time":"2021-03-11T19:05:06Z","timestamp":1615489506000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Singularity and Decay Estimates for a Degenerate Parabolic Equation"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1895-2598","authenticated-orcid":false,"given":"Dongyan","family":"Li","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,3,11]]},"reference":[{"key":"e_1_2_7_1_2","first-page":"41","article-title":"A priori estimates and existence of positive solutions of semilinear elliptic equations","volume":"61","author":"de Figueiredo D. 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