Source and coefficient inverse problems for an elliptic equation in a rectangle
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1365-1377
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The inverse problems of determining the source and coefficient of an elliptic equation in a rectangle are studied. Additional information on the solution to the direct problem (overdetermination) is the trace of its solution on an interval inside the rectangle. Sufficient existence and uniqueness conditions (global) are derived for the inverse problems. The study is performed in the class of continuously differentiable functions whose derivatives satisfy a Hölder condition.
@article{ZVMMF_2007_47_8_a8,
author = {V. V. Solov'\"ev},
title = {Source and coefficient inverse problems for an elliptic equation in a~rectangle},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1365--1377},
publisher = {mathdoc},
volume = {47},
number = {8},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a8/}
}
TY - JOUR AU - V. V. Solov'ëv TI - Source and coefficient inverse problems for an elliptic equation in a rectangle JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 1365 EP - 1377 VL - 47 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a8/ LA - ru ID - ZVMMF_2007_47_8_a8 ER -
%0 Journal Article %A V. V. Solov'ëv %T Source and coefficient inverse problems for an elliptic equation in a rectangle %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2007 %P 1365-1377 %V 47 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a8/ %G ru %F ZVMMF_2007_47_8_a8
V. V. Solov'ëv. Source and coefficient inverse problems for an elliptic equation in a rectangle. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1365-1377. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a8/