Soliton asymptotics for the KdV shock problem of low regularity

Published 17 Feb 2022 in math.AP, math-ph, and math.MP | (2202.08507v1)

Abstract: We revisit the asymptotic analysis of the KdV shock problem in the soliton region. Our approach is based on the analysis of the associated Riemann-Hilbert problem and we extend the domain of validity of the asymptotic formulas while at the same time requiring less decay and smoothness for the initial data.

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