Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 23 (1985), pp. 125-218
Citer cet article
V. P. Glushko; Yu. B. Savchenko. Higher-order degenerate elliptic equations: spaces, operators and boundary value problems. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 23 (1985), pp. 125-218. http://geodesic.mathdoc.fr/item/INTM_1985_23_a1/
@article{INTM_1985_23_a1,
author = {V. P. Glushko and Yu. B. Savchenko},
title = {Higher-order degenerate elliptic equations: spaces, operators and boundary value problems},
journal = {Itogi nauki i tehniki. Seri\^a, Matemati\v{c}eskij analiz},
pages = {125--218},
year = {1985},
volume = {23},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTM_1985_23_a1/}
}
TY - JOUR
AU - V. P. Glushko
AU - Yu. B. Savchenko
TI - Higher-order degenerate elliptic equations: spaces, operators and boundary value problems
JO - Itogi nauki i tehniki. Seriâ, Matematičeskij analiz
PY - 1985
SP - 125
EP - 218
VL - 23
UR - http://geodesic.mathdoc.fr/item/INTM_1985_23_a1/
LA - ru
ID - INTM_1985_23_a1
ER -
%0 Journal Article
%A V. P. Glushko
%A Yu. B. Savchenko
%T Higher-order degenerate elliptic equations: spaces, operators and boundary value problems
%J Itogi nauki i tehniki. Seriâ, Matematičeskij analiz
%D 1985
%P 125-218
%V 23
%U http://geodesic.mathdoc.fr/item/INTM_1985_23_a1/
%G ru
%F INTM_1985_23_a1
One gives a survey and one presents the method of the reduction of a general boundary-value problem to a Dirichlet type problem, based on the systematic use of the concept of a weighted pseudodifferential operator. One gives the fundamental results in the theory of weighted spaces of functions. The survey is compiled on the basis of the publications refereed during 1970–1983 in the Referativnyi Zhurnal “Matematika” and on the basis of the latest results published in the form of reports or preprints or deposited at VINITI.
