Nonlinear unilateral parabolic problems in Musielak-Orlicz spaces with $L^1$ data

Mustafa Ait Khellou, Sidi Mohamed Douiri, Youssef Elhadfi

DOI: http://dx.doi.org/10.12775/TMNA.2018.007

Abstract


We study, in Musielak-Orlicz spaces, the existence of solutions for some strongly nonlinear parabolic unilateral problem with $L^1$ data and without sign condition on nonlinearity.

Keywords


Musielak-Orlicz spaces; nonlinear unilateral parabolic problems; entropy solutions

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