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Approximation of the viscosity solution of a Hamilton-Jacobi problem.

P. FabrieP. Rasetarinera — 1996

Revista Matemática de la Universidad Complutense de Madrid

In this paper, a mathematical analysis of in-situ biorestoration is presented. Mathematical formulation of such process leads to a system of non-linear partial differential equations coupled with ordinary differential equations. First, we introduce a notion of weak solution then we prove the existence of at least one such a solution by a linearization technique used in Fabrie and Langlais (1992). Positivity and uniform bound for the substrates concentration is derived from the maximum principle...

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