The first boundary value problem for $(A,\vec b)$-elliptic equations
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 45-88
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The formulation of the first 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 of generalized solutions of this problem are found and some theorems concerning the uniqueness and continuous dependence of solutions on the boundary data are established.
@article{ZNSL_1979_84_a6,
author = {A. V. Ivanov},
title = {The first boundary value problem for $(A,\vec b)$-elliptic equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {45--88},
year = {1979},
volume = {84},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a6/}
}
A. V. Ivanov. The first boundary value problem for $(A,\vec b)$-elliptic equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 45-88. http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a6/