Long time behavior of solutions of a reaction-diffusion equation on unbounded intervals with Robin boundary conditions

Xinfu Chen, Bendong Lou, Maolin Zhou +1

We study the long time behavior, as $t\to \infty$, of solutions of $$ \left\{ \begin{array}{ll} u_t = u_{xx} + f(u), & x>0, \ t >0,\\ u(0,t) = b u_x(0,t), & t>0,\\ u(x,0) = u_0 (x)\…