Asymptotic expansion of small solutions to the Landau–Ginzburg type equations
Nakao Hayashi, Elena Igorevna Kaikina, Pavel Ivanovich Naumkin · Asymptotic Analysis · 2002
We obtain the large time asymptotic expansion of small solutions to the Landau–Ginzburg type equations [Formula: see text] where α,β∈C,Rα>0, R(β/ $\sqrt{2|\alpha |^{2}+\alpha ^{2}}$ )≥0, under the condition that the initial data ϕ are sufficiently small in a suitable weighted norm and the mean value ∫ϕ(x) dx≠0.