Remarks on DiPerna's paper ``Convergence of the viscosity method for isentropic gas dynamics''.

Concerns have been voiced about the correctness of certain technical points in DiPerna's paper (Comm. Math. Phys. \textbf{91} (1983), 1--30) related to the vacuum state. In this note, we provide clarifications. Our conclusion is that these concerns mainly arise from the statement of a lemma for constructing the viscous approximate solutions and some typos; however, the gap can be either fixed by correcting the statement of the lemma and the typos or bypassed by employing the finite difference methods. [ABSTRACT FROM AUTHOR]