Large Time Behavior of Small Solutions to Dirichlet Problem for Landau-Ginzburg Type Equations
Nakao Hayashi, Naoko Ito, Elena Igorevna Kaikina, Pavel Ivanovich Naumkin · Funkcialaj Ekvacioj · 2004
We study the Dirichlet problem for nonlinear dissipative equations with two power (critical and sub-critical) nonlinearities of parabolic type on half lines. Taking the zero boundary conditions into consideration, we present a sufficient condition which gives sharp time asymptotics of small solutions.