Renormalized solution for a nonlinear parabolic problems with noncoercivity in divergence form in Musielak–Orlicz spaces

摘要

In this research we prove an existence result of renormalized solutions for nonlinear parabolic equations with two lower order terms and L1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L^1$$end{document}-data under the functional framework of the Musielak–Sobolev spaces in cylindrical domains with homogeneous Dirichlet boundary condition.