Pré-Publication, Document De Travail Année : 2019

FINITE VOLUME SCHEME AND RENORMALIZED SOLUTIONS FOR A NONCOERCIVE AND NONLINEAR PARABOLIC PROBLEM WITH L1 DATA

Résumé

In the present paper by using the tools developed for finite volume schemes, we adapt the strategy used to deal with the existence of a renormal-ized solution for parabolic problems with L1 data. We prove here the convergence of the finite volume approximate solution of a noncoercive and nonlinear parabolic equation to a renormalized solution. Under additional assumptions on the problem, the uniqueness of the renormalized solution implies that the whole sequence converges.
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Dates et versions

hal-02424104 , version 1 (26-12-2019)

Identifiants

  • HAL Id : hal-02424104 , version 1

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Olivier Guibé, Sarah Leclavier. FINITE VOLUME SCHEME AND RENORMALIZED SOLUTIONS FOR A NONCOERCIVE AND NONLINEAR PARABOLIC PROBLEM WITH L1 DATA. 2019. ⟨hal-02424104⟩
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