TY - JOUR T1 - Nonlinear Parabolic Equations with Singular Coefficient with Respect to the Unknown and with Diffuse Measure Data AU - Zaki , Khaled AU - Redwane , Hicham JO - Journal of Partial Differential Equations VL - 4 SP - 326 EP - 341 PY - 2020 DA - 2020/01 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n4.3 UR - https://global-sci.org/intro/article_detail/jpde/13612.html KW - Nonlinear parabolic equations KW - renormalized solutions KW - diffuse measure. AB -
An existence and uniqueness result of a renormalized solution for a class of doubly nonlinear parabolic equations with singular coefficient with respect to the unknown and with diffuse measure data is established. A comparison result is also proved for such solutions.