Well-posedness of Neumann-type elliptic overdetermined problem with integral condition
Charyyar AshyralyyevDepartment of Mathematical Engineering, Gumushane University, 29100, Gumushane, TurkeyA CayDepartment of Mathematical Engineering, Gumushane University, 29100, Gumushane, Turkey
2018en
ABI
Abstract
The current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overde-termined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary condition. Well-posedness of abstract problem is established. Then, obtained results are used to obtain stability inequalities for solution of three Neumann-type inverse elliptic problems with integral condition to multidimensional differential equation.
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