Pullback Attractors For Non-autonomous Reaction-diffusion Equation With Nonlinear Boundary Condition

By applying the methods introduced in Rodriguez-Bernal et al.(2001)[27]and Lukaszewicz(2010)[24]as well as some new estimates of the solutions,we prove the existence of a unique minimal pullback attractor for the evolutionary process associated with a non-autonomous reaction-diffusion equation with nonlin-ear boundary condition in Lp+1(?)(p>1)under the assumption that the internal nonlinearity f is dissipative and boundary nonlinearity g is non-dissipative,where we only assume that the external forcing h(t)satisfies a certain integrability con-dition.