A discrete free boundary problem

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Article-Frontierelivre-arima-2.pdf (342.3 KB)

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2015

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INRIA, France

Abstract

We study the free boundary problem in a nonstandard setting of infinitesimal discretisations of the heat equation. In particular we derive regularity results of solutions and the free boundary, in terms of S-continuity and S-differentiability.

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Keywords

Free boundary problem,, Discrete heat equation, S-continuity,, S-differentiability, Nonstandard analysis.

Citation

Imme van den Berg A discrete free boundary problem. ARIMA, Volume 20 – 2015, pp. 199-235

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http://arima.inria.fr/020/020009.html
 http://hdl.handle.net/10174/16852

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CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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