
2000, Volume 229




Differential operator equations. A method of model operators in the theory of boundary value problems
Author: A. A. Dezin^{} Volume Editor: V. S. Vladimirov^{} Editor in Chief: E. F. Mishchenko^{}
ISBN: 502002452X, 5784600826
Abstract: In this monograph, a wide range of problems of the theory of linear partial differential equations are considered from a unified point of view. The procedure of reducing a problem to a model differential operator equation of a special simple structure is studied. Classical and nonclassical equations and problems are compared. The spectral characteristics and properties of generalized solutions are considered for mixedtype and degenerating equations as well as for equations with discontinuous coefficients and equations containing a small parameter. Considerable attention is paid to the questions of the general theory of boundary problems. Necessary information is given from functional analysis and spectral theory of operators. For specialists in mathematical physics, functional analysis, and applied mathematics, as well as for senior students and postgraduates of relevant specialties.
Citation:
A. A. Dezin, Differential operator equations. A method of model operators in the theory of boundary value problems, Tr. Mat. Inst. Steklova, 229, ed. V. S. Vladimirov, E. F. Mishchenko, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 176 pp.
Citation in format AMSBIB:
\Bibitem{1}
\by A.~A.~Dezin
\book Differential operator equations. A method of model operators in the theory of boundary value problems
\serial Tr. Mat. Inst. Steklova
\yr 2000
\vol 229
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\ed V.~S.~Vladimirov, E.~F.~Mishchenko
\totalpages 176
\mathnet{http://mi.mathnet.ru/book242}
Linking options:
http://mi.mathnet.ru/eng/book242
Full text:
Contents
Review databases:
Additional information
In this monograph, a wide range of problems of the theory of linear partial differential equations are considered from a unified point of view. The procedure of reducing a problem to a model differential operator equation of a special simple structure is studied. Classical and nonclassical equations and problems are compared. The spectral characteristics and properties of generalized solutions are considered for mixedtype and degenerating equations as well as for equations with discontinuous coefficients and equations containing a small parameter. Considerable attention is paid to the questions of the general theory of boundary problems. Necessary information is given from functional analysis and spectral theory of operators. For specialists in mathematical physics, functional analysis, and applied mathematics, as well as for senior students and postgraduates of relevant specialties. 

