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Asymptotic behavior of solutions to time-dependent Hartree equations

โœ Scribed by Nakao Hayashi


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
255 KB
Volume
12
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


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## Abstract We study the asymptotic regularity of solutions to Hartreeโ€“Fock (HF) equations for Coulomb systems. To deal with singular Coulomb potentials, Fock operators are discussed within the calculus of pseudoโ€differential operators on conical manifolds. First, the nonโ€selfโ€consistentโ€field case

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In this paper, we investigate the asymptotic behavior of solutions to a system of differential equations with state-dependent delays. It is shown that every bounded solution of such a system tends to a constant vector as t โ†’ โˆž. Our results improve and extend some corresponding ones already known.