Geodesic
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 
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/
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     title = {Source and coefficient inverse problems for an elliptic equation in a~rectangle},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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