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Abstract |
Evolution Equations Possessing
Solutions of the Finite Power Sums Type
S.R.Svirshchevskii (Keldysh Institute
of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia)
e-mail:
svr@spp.Keldysh.ru
Constructing
of evolution PDEs (in one spatial dimension) possessing solutions in the form
of finite power sums is closely connected with the problem of description of
ordinary differential operators admitting invariant subspaces of the power
type. In the present paper a complete description of the whole set of such
operators as well as of the subsets of the operators of submaximal order and
translation-invariant operators is obtained.
Section
: 12