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 is given.
@article{bwmeta1.element.doi-10_1515_math-2015-0026,
author = {Rossitza Semerdjieva},
title = {On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem},
journal = {Open Mathematics},
volume = {13},
year = {2015},
zbl = {1301.35221},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0026}
}
Rossitza Semerdjieva. On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0026/
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