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On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients

✍ Scribed by Adrien Blanchet; Jean Dolbeault; Régis Monneau


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
397 KB
Volume
85
Category
Article
ISSN
0021-7824

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On the regularity of the free boundary i
✍ Adrien Blanchet 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 467 KB

This paper is devoted to local regularity results on the free boundary of the one-dimensional parabolic obstacle problem with variable coefficients. We give an energy criterion and a density criterion for characterising the subsets of the free boundary which are Hölder continuous in time with expone