On numerical blow-up sets

Fernández Bonder, Julián; Groisman, Pablo; Rossi, Julio

doi:10.1090/S0002-9939-02-06350-5

On numerical blow-up sets
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by Julián Fernández Bonder, Pablo Groisman and Julio D. Rossi PDF

Proc. Amer. Math. Soc. 130 (2002), 2049-2055 Request permission

Abstract:

In this paper we study numerical blow-up sets for semidicrete approximations of the heat equation with nonlinear boundary conditions. We prove that the blow-up set either concentrates near the boundary or is the whole domain.

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