{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T11:00:29Z","timestamp":1758279629517},"reference-count":27,"publisher":"American Mathematical Society (AMS)","issue":"8","license":[{"start":{"date-parts":[[2006,1,27]],"date-time":"2006-01-27T00:00:00Z","timestamp":1138320000000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Trans. Amer. Math. Soc."],"abstract":"<p>We consider a class of doubly nonlinear parabolic equations used in modeling free boundaries with a finite speed of propagation. We prove that nonnegative weak solutions satisfy a smoothing property; this is a well-known feature in some particular cases such as the porous medium equation or the parabolic<inline-formula content-type=\"math\/mathml\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"p\"><mml:semantics><mml:mi>p<\/mml:mi><mml:annotation encoding=\"application\/x-tex\">p<\/mml:annotation><\/mml:semantics><\/mml:math><\/inline-formula>-Laplace equation. The result is obtained via regularization and a comparison theorem.<\/p>","DOI":"10.1090\/s0002-9947-05-03790-6","type":"journal-article","created":{"date-parts":[[2005,4,22]],"date-time":"2005-04-22T08:21:32Z","timestamp":1114158092000},"page":"3239-3253","source":"Crossref","is-referenced-by-count":7,"special_numbering":"843","title":["The smoothing property for a class of doubly nonlinear parabolic equations"],"prefix":"10.1090","volume":"357","author":[{"given":"Carsten","family":"Ebmeyer","sequence":"first","affiliation":[]},{"given":"Jos\u00e9","family":"Urbano","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2005,1,27]]},"reference":[{"issue":"2","key":"1","first-page":"A103--A105","article-title":"R\u00e9gularit\u00e9 des solutions de l\u2019\u00e9quation des milieux poreux dans \ud835\udc45^{\ud835\udc41}","volume":"288","author":"Aronson, Donald G.","year":"1979","journal-title":"C. R. Acad. Sci. Paris S\\'{e}r. 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