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MR1967353 (2004a:35100) 35K55 (35B33 35B35 35K10)
Ben-Artzi, Matania; Souplet, Philippe; Weissler, Fred B. The local theory for viscous Hamilton-Jacobi equations in Lebesgue spaces. J. Math. Pures Appl. (9) 81 (2002), no. 4, 343–378.
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