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math.AP2016
Long-time asymptotics of solutions of the heat equation
Sergei V. Zakharov
The long-time asymptotics of solutions of the Cauchy problem for the heat equation are constructed in the case when the initial function at infinity has power asymptotics.
math.AP2016
Large-gradient and Lagrange singularities of solutions of a quasilinear parabolic equation
Sergei V. Zakharov
Asymptotic solutions of a quasilinear parabolic equation with a small parameter at the higher derivative are constructed near large-gradient and Lagrange singularities of A-type, w…