Estimates for solutions of Burgers type equations and some applications

Mathematics – Analysis of PDEs

Scientific paper

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to appear in J. Math. Pure et Appl

Scientific paper

We obtain precise large time asymptotics for the Cauchy problem for Burgers
type equations satisfying shock profile condition. The proofs are based on the
exact a priori estimates for (local) solutions of these equations and a recent
result of the first and second authors.

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