Regularity of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem

Published 9 Nov 2012 in math.AP | (1211.2219v3)

Abstract: We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on $C^{m$-regularity} 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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Rossitza Semerdjieva

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