Almost Periodically Distributed Solutions for Diffusion Equations in Duals of Nuclear Spaces |
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| Authors: | C Tudor |
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| Institution: | (1) Department of Mathematics, University of Bucharest, 70109 Bucharest, Romania ctudor@roimar.imar.ro and Centro de Investigacion en Matematicas, Apdo Postal 402, Guanajuato, Gto. 36000 Mexico tudor@fractal.cimat.mx, MX |
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| Abstract: | 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.
Accepted 19 December 1996 |
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| Keywords: | , Nuclear space, Diffusion equations, Bounded and almost periodic solutions, AMS Classification, Primary 60H10, Secondary,,,,,60J60, |
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