Pseudo-almost periodic viscosity solutions of second-order nonlinear parabolic equations

Abstract: In this paper we generalize the comparison result of Bostan and Namah (2007)  to the second-order parabolic case and prove two properties of pseudo-almost periodic functions; then by using Perron’s method we prove the existence and uniqueness of time pseudo-almost periodic viscosity solutions of second-order parabolic equations under usual hypotheses. [Copyright &y& Elsevier]