On the definitions of boundary values of generalized solutions to an elliptic-type equation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 48-52
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An elliptic-type equation with variable coefficients is considered. An overview is given of the definitions of boundary values of generalized solutions to this equation. Conditions for the existence of boundary values as well as conditions for the existence and uniqueness of solutions to the corresponding Dirichlet problem are analyzed.
@article{TM_2018_301_a3,
author = {N. A. Gusev},
title = {On the definitions of boundary values of generalized solutions to an elliptic-type equation},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {48--52},
publisher = {mathdoc},
volume = {301},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2018_301_a3/}
}
TY - JOUR AU - N. A. Gusev TI - On the definitions of boundary values of generalized solutions to an elliptic-type equation JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2018 SP - 48 EP - 52 VL - 301 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2018_301_a3/ LA - ru ID - TM_2018_301_a3 ER -
N. A. Gusev. On the definitions of boundary values of generalized solutions to an elliptic-type equation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 48-52. http://geodesic.mathdoc.fr/item/TM_2018_301_a3/