On exterior elliptic problems polynomially depending on a spectral parameter, and the asymptotic behavior for large time of solutions of nonstationary problems
Abstract:
In this paper elliptic problems in exterior domains polynomially depending on a spectral parameter $k$ are considered. These problems are obtained from a mixed problem for hyperbolic equations by substituting $k$ for $id/dt$. For such elliptic problems analytic properties of the resolvent are studied in the neighborhood of the point $k=0$, which permits, for the corresponding nonstationary problem, a complete asymptotic expansion of solutions as $t\to\infty$.
Bibliography: 11 titles.
Fulltext:
PDF file (1659 kB)
