Xiaolin, Xiang et Tao, Luo, Existence of Periodic Solutions of Nonlinear Systems with Nonlinear Boundary Conditions, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 11(4), 1995, pp. 439-445
In this paper we consider the periodic solutions of nonlinear parabolic systems with nonlinear boundary conditions. By constructing the Poincare operator, we obtain the existence of W.². -periodic weak solutions under some reasonable assumptions.