LAUSR

Abstract The global-in-time solutions with discontinuous initial data, when the density has no regularity, are constructed in [10] , [11] , [12] for the isentropic compressible Navier-Stokes equations in multi-dimensional spaces. The time decay rates of these solutions with low regularity still remain unsolved. In this paper we establish the decay rates of solutions in [10] , [11] , [12] in L r -norm with 2 ≤ r ≤ ∞ and the decay rate of the first order derivative of the velocity in L 2 -norm when the initial data are bounded in L 1 . The optimal decay rates are also obtained. These decay rates are the same as rates for classical solutions in [18] , [20] .