摘要：In this paper, pseudo almost periodic functions on R N , with N an integer larger than 1, are introduced and some basic properties of them are studied. As an application, we investigate the pseudo almost periodicity of a weak solution of the semilinear elliptic equation − Δ u + ∑ j = 1 N c j ∂ j u + f ( x , u ) = h ( x ) . In addition, a pseudo almost periodic forced pendulum equation is considered as an example. MSC:35B15, 35J61.
关键词：almost periodicity ; pseudo almost periodicity ; semilinear elliptic equation
