Periodicity of inhomogeneous trajectories and applications

We prove the existence and uniqueness of periodic solutions to inhomogeneous linear evolution equations and then give applications to Stokes equations in the space of bounded functions and to the inhomogeneous trajectories corresponding to semigroups which admit Gaussian estimates.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 468; no. 1; pp. 161 - 168
Main Authors Nguyen, Thieu Huy, Tran, Thi Kim Oanh
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.12.2018
Subjects
Gaussian estimates
Linear evolution equations
Periodic solutions
Semigroups
Stokes equations
Semigroups
Gaussian estimates
Linear evolution equations
Periodic solutions
Stokes equations
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Summary:We prove the existence and uniqueness of periodic solutions to inhomogeneous linear evolution equations and then give applications to Stokes equations in the space of bounded functions and to the inhomogeneous trajectories corresponding to semigroups which admit Gaussian estimates.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2018.08.012