Parabolic equations involving 0th and 1st order terms with $L^1$ data

Thierry Goudon; Mazen Saad

doi:10.4171/rmi/301

JournalsrmiVol. 17, No. 3pp. 433–469

Parabolic equations involving 0th and 1st order terms with $L^{1}$ data

Thierry Goudon
CNRS-Université Lille I, Villeneuve d'Ascq, France
Mazen Saad
Université de Bordeaux I, Talence, France

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Abstract

This paper is devoted to general parabolic equations involving 0th and 1st order terms in linear and nonlinear expressions, while the data only belong to $L^{1}$ . Existence and entropicuniqueness of solutions are proved.

Cite this article

Thierry Goudon, Mazen Saad, Parabolic equations involving 0th and 1st order terms with $L^{1}$ data. Rev. Mat. Iberoam. 17 (2001), no. 3, pp. 433–469

DOI 10.4171/RMI/301