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Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial Evolution Equations
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@Article{JPDE-30-11,
author = {Baazaoui , Riadh},
title = {Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial Evolution Equations},
journal = {Journal of Partial Differential Equations},
year = {2017},
volume = {30},
number = {1},
pages = {11--30},
abstract = { 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.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v30.n1.2},
url = {http://global-sci.org/intro/article_detail/jpde/5068.html}
}
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.
Riadh Baazaoui. (2019). Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial Evolution Equations.
Journal of Partial Differential Equations. 30 (1).
11-30.
doi:10.4208/jpde.v30.n1.2
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