A method for solving ill-posed Robin-Cauchy problems for second-order elliptic equations in multi-dimensional cylindrical domains

Autor: Berikbol T. Torebek
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2016, Iss 252,, Pp 1-9 (2016)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article we consider the Robin-Cauchy problem for multidimensional elliptic equations in a cylindrical domain. The method of spectral expansion in eigenfunctions of the Robin-Cauchy problem for equations with deviating argument establishes a criterion of the strong solvability of the considered Robin-Cauchy problem. It is shown that the ill-posedness of the Robin-Cauchy problem is equivalent to the existence of an isolated point of the continuous spectrum for a self-adjoint operator with the deviating argument.
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