Existence results for doubly nonlinear parabolic equations with two lower order terms and $L^1$-data

TL;DR

This paper proves the existence of renormalized solutions for a class of doubly nonlinear parabolic equations with two lower order terms and data in the $L^1$ space, advancing the understanding of such equations.

Contribution

It establishes new existence results for doubly nonlinear parabolic equations with complex lower order terms and minimal data regularity.

Findings

Existence of renormalized solutions under specified conditions

Extension of previous results to equations with two lower order terms

Handling of $L^1$-data in the existence theory

Abstract

We investigate the existence of a renormalized solution for a class of nonlinear parabolic equations with two lower order terms and $L^1$-data.