Differential equations

Renormalization in the Causy problem with two small parameters

S. V. Zakharov

Institute of Mathematics of the Ural Branch of RAS

Abstract: The Cauchy problem for a quasi-linear parabolic equation with a small parameter at a higher derivative is considered. The initial function contains another small parameter. The asymptotics of the solution in by parameter problem is constructed using the renormalization method.

Keywords: Cauchy problem, parabolic equation, renormalization.