Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data

Abstract

ABSTRACT In this article, we focus on a class of nonlinear parabolic problems having variable exponents, a strictly increasing ‐function , and general measure data . The existence and uniqueness of a renormalized solution to the given problem are constructed by combining the theory of monotone operators, the truncation approach, and Marcinkiewicz estimation.