Almost Periodically Distributed Solutions for Diffusion Equations in Duals of Nuclear Spaces

Almost Periodically Distributed Solutions for Diffusion Equations in Duals of Nuclear Spaces 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Almost Periodically Distributed Solutions for Diffusion Equations in Duals of Nuclear Spaces

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Publisher
Springer-Verlag
Copyright
Copyright © Inc. by 1998 Springer-Verlag New York
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s002459900089
Publisher site
See Article on Publisher Site

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