Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data

Elemine Vall, M.S.B.   ; Ahmed, A.   ; Touzani, A.   ; Benkirane, A.

Archivum mathematicum, Tome 56 (2020) no. 2, pp. 65-106

Abstract (VO)

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.

Détail

DOI : 10.5817/AM2020-2-65

Classification : 35K55, 46E35, 80M10
Keywords: inhomogeneous Musielak-Orlicz-Sobolev spaces; parabolic problems; Galerkin method

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