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Existence of a smooth solution in a filtration problem

✍ Scribed by V. N. Gusakov; S. P. Degtyarev


Book ID
112470867
Publisher
Springer
Year
1989
Tongue
English
Weight
391 KB
Volume
41
Category
Article
ISSN
0041-5995

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Existence of a Classical Solution for a
✍ Roberto Gianni; Paola Mannucci πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 276 KB

## 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