The first and second boundary value problems for $(A,\vec b)$-elliptic equations
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 171-181
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The formulation of general (first-second) boundary value problem is given for a large class of equations in a divergent form, admitting a “fixed” degeneration on any subset of the domain in which the argument is defined.
The conditions of existence and uniqueness of generalized solutions of this problem continuously depending on the data are established.
@article{ZNSL_1979_92_a8,
author = {A. V. Ivanov},
title = {The first and second boundary value problems for $(A,\vec b)$-elliptic equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {171--181},
publisher = {mathdoc},
volume = {92},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a8/}
}
A. V. Ivanov. The first and second boundary value problems for $(A,\vec b)$-elliptic equations. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 171-181. http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a8/