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MR1381974 35L65 (35Q30 76D05)
Carlen, Eric A.; Loss, Michael Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the $2$-D Navier-Stokes equation. A celebration of John F. Nash, Jr. Duke Math. J. 81 (1995), no. 1, 135–157 (1996).
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