Large-time behavior of solutions of parabolic equations on the real line with convergent initial data III:unstable limit at infinity

Antoine Pauthier, Peter Poláčik

This is a continuation, and conclusion, of our study of bounded solutions $u$ of the semilinear parabolic equation $u_t=u_{xx}+f(u)$ on the real line whose initial data $u_0=u(\cdo…