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MR1033281 (90k:35164) 35L65 (35Q20 65N30)
DeVore, Ronald A.; Lucier, Bradley J. High order regularity for solutions of the inviscid Burgers equation. Nonlinear hyperbolic problems (Bordeaux, 1988), 147--154, Lecture Notes in Math., 1402, Springer, Berlin, 1989.
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