Article Contents
Article Contents

# Logarithmic estimates for continuity equations

• The aim of this short note is twofold. First, we give a sketch of the proof of a recent result proved by the authors in the paper [7] concerning existence and uniqueness of renormalized solutions of continuity equations with unbounded damping coefficient. Second, we show how the ideas in [7] can be used to provide an alternative proof of the result in [6,9,12], where the usual requirement of boundedness of the divergence of the vector field has been relaxed to various settings of exponentially integrable functions.
Mathematics Subject Classification: Primary: 35F16; Secondary: 37C10.

 Citation:

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