Almost periodic solutions of Poisson’s equation
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- by Yasutaka Sibuya PDF
- Proc. Amer. Math. Soc. 28 (1971), 195-198 Request permission
Abstract:
It is well known that if $f(t)$ is almost periodic with respect to a real variable $t$, and if $F(t) = {\smallint ^t}f(s)ds$ is bounded for $- \infty < t < \infty$, then $F(t)$ is also almost periodic in $t$. We shall prove a similar result for Poisson’s equation.References
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R. Courant, Methods of mathematical physics. Vol. II: Partial differential equations, Interscience, New York, 1962. MR 25 #4216.
J. Favard, Leçons sur les fonctions presque-périodiques, Gauthier-Villars, Paris, 1933.
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 195-198
- MSC: Primary 35.75
- DOI: https://doi.org/10.1090/S0002-9939-1971-0285816-9
- MathSciNet review: 0285816