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<p>The idea of this paper is to discuss the existence and uniqueness of entropy solutions for certain nonlinear degenerate weighted parabolic systems. These problems are characterized by Dirichlet-type boundary conditions and measure data on the right-hand side. Our main approach in this study involves using Rothe’s method and the Euler forward scheme, further enhanced by incorporating theory related to weighted variable exponent Sobolev Spaces.</p>

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Study of entropy solutions to a class of nonlinear degenerate parabolic systems with a measure source on the right hand side

  • 期刊论文

  • 发表日期：

    2025年8月14日

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  • Adnane Kaddiri,
  • Ahmed Jamea,
  • Mohamed Laghdir,
  • El Mehdi Hassoune

摘要

The idea of this paper is to discuss the existence and uniqueness of entropy solutions for certain nonlinear degenerate weighted parabolic systems. These problems are characterized by Dirichlet-type boundary conditions and measure data on the right-hand side. Our main approach in this study involves using Rothe’s method and the Euler forward scheme, further enhanced by incorporating theory related to weighted variable exponent Sobolev Spaces.