TY - JOUR
T1 - Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial Evolution Equations
AU - Baazaoui , Riadh
JO - Journal of Partial Differential Equations
VL - 1
SP - 11
EP - 30
PY - 2017
DA - 2017/03
SN - 30
DO - http://doi.org/10.4208/jpde.v30.n1.2
UR - https://global-sci.org/intro/article_detail/jpde/5068.html
KW - Evolution family
KW - exponential dichotomy
KW - acquistapace and Terreni conditions
KW - doubly-weighted pseudo-almost periodic
KW - evolution equation
KW - nonautonomous equation
AB -  In this work, a characterization of the doubly-weighted Bohr spectrum of an almost periodic function is given. We showed precisely that such a spectrum is either empty or coincides with the Bohr spectrum of that function. Next, we investigate the existence of doubly-weighted pseudo-almost periodic solutions to some classes of non-autonomous partial evolution equations.