Abstract
In this paper, we prove the existence and uniqueness results of entropy solutions to a class of nonlinear parabolic p(u)-Laplacian problem with Fourier-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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The authors would like to express their sincere gratitude to the anonymous referees and the handling editor for their careful reading and for relevant remarks/suggestions, which helped them to improve the paper.
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Sabri, A., Jamea, A. Rothe time-discretization method for a nonlinear parabolic p(u) -Laplacian problem with Fourier-type boundary condition and \(L^1\)-data. Ricerche mat 71, 609–632 (2022). https://doi.org/10.1007/s11587-020-00544-2
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DOI: https://doi.org/10.1007/s11587-020-00544-2