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MR1181072 (93h:35182) 35Q53 (60H15 76B15 76L05)
She, Zhen-Su; Aurell, Erik; Frisch, Uriel The inviscid Burgers equation with initial data of Brownian type. Comm. Math. Phys. 148 (1992), no. 3, 623–641.
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