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Existence of a Classical Solution for a Multidimensional Filtration Problem

✍ Scribed by Roberto Gianni; Paola Mannucci

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 276 KB
Volume: 20
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19970125)20:2<179::aid-mma855>3.0.co;2-#

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✦ Synopsis

Communicated by H. Neunzert

We prove existence, in a small time interval, of a classical solution having a regular free boundary, (i.e. the level set +u"0,) of a multidimensional filtration problem. The key point to get the regularity of the level set +u"0, is the proof of an a priori estimate for the ¸-norm of u R .

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