On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary...
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-04-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2015-0026 |