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

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

Archivum Mathematicum (2020)

  • Volume: 056, Issue: 2, page 65-106
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Elemine Vall, M.S.B., et al. "Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data." Archivum Mathematicum 056.2 (2020): 65-106. <http://eudml.org/doc/297093>.

@article{ElemineVall2020,
abstract = {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.},
author = {Elemine Vall, M.S.B., Ahmed, A., Touzani, A., Benkirane, Abdelmoujib},
journal = {Archivum Mathematicum},
keywords = {inhomogeneous Musielak-Orlicz-Sobolev spaces; parabolic problems; Galerkin method},
language = {eng},
number = {2},
pages = {65-106},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data},
url = {http://eudml.org/doc/297093},
volume = {056},
year = {2020},
}

TY - JOUR
AU - Elemine Vall, M.S.B.
AU - Ahmed, A.
AU - Touzani, A.
AU - Benkirane, Abdelmoujib
TI - Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data
JO - Archivum Mathematicum
PY - 2020
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 056
IS - 2
SP - 65
EP - 106
AB - 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.
LA - eng
KW - inhomogeneous Musielak-Orlicz-Sobolev spaces; parabolic problems; Galerkin method
UR - http://eudml.org/doc/297093
ER -

References

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