Model elliptic boundary-value problems for pseudodifferential operators in canonical nonsmooth domains
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 22-37
Voir la notice de l'article provenant de la source Math-Net.Ru
We consider a simplest elliptic pseudodifferential equation in a multi-dimensional cone (multi-dimensional angle) and describe all possible structures of its solutions related to the wave factorization of the elliptic symbol. Depending on the index of wave factorization, we consider various statements of well-posed boundary-value problems. The existence of solutions is studied in Sobolev–Slobodetskii spaces.
@article{TSP_2016_31_31_a1,
author = {V. B. Vasilyev},
title = {Model elliptic boundary-value problems for pseudodifferential operators in canonical nonsmooth domains},
journal = {Trudy Seminara im. I.G. Petrovskogo},
pages = {22--37},
publisher = {mathdoc},
volume = {31},
number = {31},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a1/}
}
TY - JOUR AU - V. B. Vasilyev TI - Model elliptic boundary-value problems for pseudodifferential operators in canonical nonsmooth domains JO - Trudy Seminara im. I.G. Petrovskogo PY - 2016 SP - 22 EP - 37 VL - 31 IS - 31 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a1/ LA - ru ID - TSP_2016_31_31_a1 ER -
%0 Journal Article %A V. B. Vasilyev %T Model elliptic boundary-value problems for pseudodifferential operators in canonical nonsmooth domains %J Trudy Seminara im. I.G. Petrovskogo %D 2016 %P 22-37 %V 31 %N 31 %I mathdoc %U http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a1/ %G ru %F TSP_2016_31_31_a1
V. B. Vasilyev. Model elliptic boundary-value problems for pseudodifferential operators in canonical nonsmooth domains. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 22-37. http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a1/