Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation

作者：Kaikina E I^*; Naumkin P I; Shishmarev I A

来源：Izvestiya - Mathematics, 2013, 77(2): 313-324.

DOI：10.1070/IM2013v077n02ABEH002637

• Sobolev-type equations
• periodic problem
• asymptotic behaviour

We study the long-time behaviour of solutions to the periodic problem for a non-linear Sobolev-type equation. In the case of non-small initial perturbations we get estimates for the decay as a function of time. In the case of small initial data we prove an asymptotic formula for solutions to the periodic problem for a non-linear Sobolev-type equation.

• 出版日期2013