Conjugate problems of elliptic differential and pseudodifferential boundary value problems in a~bounded domain
Sbornik. Mathematics, Tome 20 (1973) no. 1, pp. 67-83
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A new class of boundary value problems for elliptic differential and pseudodifferential operators in spaces of generalized functions is studied.
An explicit form is obtained for boundary value problems conjugate to elliptic differential and pseudodifferential boundary value problems in generalized and smooth functions without restrictions on the boundary operators, which permits explicit description of conditions for solvability of the original elliptic problem.
Bibliography: 18 titles.
@article{SM_1973_20_1_a3,
author = {A. S. Dikanskii},
title = {Conjugate problems of elliptic differential and pseudodifferential boundary value problems in a~bounded domain},
journal = {Sbornik. Mathematics},
pages = {67--83},
publisher = {mathdoc},
volume = {20},
number = {1},
year = {1973},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1973_20_1_a3/}
}
TY - JOUR AU - A. S. Dikanskii TI - Conjugate problems of elliptic differential and pseudodifferential boundary value problems in a~bounded domain JO - Sbornik. Mathematics PY - 1973 SP - 67 EP - 83 VL - 20 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1973_20_1_a3/ LA - en ID - SM_1973_20_1_a3 ER -
A. S. Dikanskii. Conjugate problems of elliptic differential and pseudodifferential boundary value problems in a~bounded domain. Sbornik. Mathematics, Tome 20 (1973) no. 1, pp. 67-83. http://geodesic.mathdoc.fr/item/SM_1973_20_1_a3/