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2005 Classical solutions to parabolic systems with free boundary of Stefan type
G. I. Bizhanova, J. F. Rodrigues
Adv. Differential Equations 10(12): 1345-1388 (2005).

Abstract

Motivated by the classical model for the binary alloy solidification (crystallization) problem, we show the local in time existence and uniqueness of solutions to a parabolic system strongly coupled through free boundary conditions of Stefan type. Using a modification of the standard change of variables method and coercive estimates in a weighted Hölder space (the weight being a power of $t$) we obtain solutions with maximal global regularity (having at least equal regularity for $t>0$ as at the initial moment).

Citation

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G. I. Bizhanova. J. F. Rodrigues. "Classical solutions to parabolic systems with free boundary of Stefan type." Adv. Differential Equations 10 (12) 1345 - 1388, 2005.

Information

Published: 2005
First available in Project Euclid: 18 December 2012

zbMATH: 1104.35071
MathSciNet: MR2175009

Subjects:
Primary: 35R35
Secondary: 35B65, 35K55, 35K60, 80A22

Rights: Copyright © 2005 Khayyam Publishing, Inc.

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Vol.10 • No. 12 • 2005
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