Almost Periodically Distributed Solutions for Diffusion Equations in Duals of Nuclear Spaces
Journal Article
·
· Applied Mathematics and Optimization
We discuss the problem of the existence of almost periodic in distribution solutions of nuclear space-valued diffusion equations with almost periodic coefficients. Under a dissipativity condition we prove that the translation of the unique mean square bounded solution is almost periodically distributed. Similar results hold in the affine case under mean square stability of the linear part of the equation if the nuclear space is a component of a special compatible family.
- OSTI ID:
- 21067562
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 38; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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