Existence of entropy solutions to nonlinear parabolic problems with variable exponent and L^1 -data

Ahmed Jamea,Abdelilah Alaoui Lamrani,Abderrahmane El Hachimi

Ricerche di Matematica（2018）

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摘要

In the present paper we prove existence results of entropy solutions to a class of nonlinear parabolic p(.)-Laplacian problem with Neumann-type boundary conditions and L^1 data. The main tool used here is the Rothe method combined with the theory of variable exponent Sobolev spaces.

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关键词

Existence, Entropy solution, Parabolic, p(.)-Laplacian, Neumann-type boundary condition, Semi-discretization, Rothe's method

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