Geodesic
Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data
Archivum mathematicum, Tome 56 (2020) no. 2, pp. 65-106.

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We prove an existence result of entropy solutions for a class of strongly nonlinear parabolic problems in Musielak-Sobolev spaces, without using the sign condition on the nonlinearities and with measure data.
DOI : 10.5817/AM2020-2-65
Classification : 35K55, 46E35, 80M10
Keywords: inhomogeneous Musielak-Orlicz-Sobolev spaces; parabolic problems; Galerkin method 
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     author = {Elemine Vall, M.S.B. and Ahmed, A. and Touzani, A. and Benkirane, A.},
     title = {Entropy solutions for parabolic equations in {Musielak} framework without sign condition and with measure data},
     journal = {Archivum mathematicum},
     pages = {65--106},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2020-2-65/}
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Elemine Vall, M.S.B.; Ahmed, A.; Touzani, A.; Benkirane, A. Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data. Archivum mathematicum, Tome 56 (2020) no. 2, pp. 65-106. doi : 10.5817/AM2020-2-65. http://geodesic.mathdoc.fr/articles/10.5817/AM2020-2-65/

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