On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
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AbstractWe 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 is given.
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1998 ◽
Vol 221
(1)
◽
pp. 338-348
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2003 ◽
Vol 2003
(39)
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pp. 2455-2463
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