Open AccessOn some classes of coefficient inverse problems for parabolic systems of equations with the ovedetermination date of evolutionary type
Author(s) -
Ekaterina Korotkova,
Короткова Екатерина Михайловна
Publication year - 2015
Publication title -
vestnik ûgorskogo gosudarstvennogo universiteta
Language(s) - English
Resource type - Journals
eISSN - 2078-9114
pISSN - 1816-9228
DOI - 10.17816/byusu201511351-57
Subject(s) - mathematics , overdetermination , sobolev space , inverse problem , mathematical analysis , inverse , type (biology) , boundary (topology) , boundary value problem , geometry , ecology , philosophy , epistemology , biology
The article is devoted to the question of wellposedness in the Sobolev spaces of inverse problems on determining the righthand side and coefficients in a parabolic system of equations. The overdetermination conditions are the values of a part of the vector of solutions on some system of surfaces. Under special conditions on the boundary operators the local existence theorem of solutions to the problem is established.