Russian Mathematics · 2011 · 29 citations · 4 references
Natural SciencesMathematicsDifferential EquationsIntegral EquationsInverse ProblemsInverse Problems In MechanicsPartial Differential EquationsRegular SolutionsComputational Inverse ProblemsIll-posed Inverse ProblemsInverse Problem FormulationInverse Problem TheoryInverse Problems In Partial Differential Equations
We establish a criterion for the unique solvability of the inverse problem for the Lavrent’ev-Bitsadze equation with unknown right-hand side. We construct a solution as the sum of a series over a system of bi-orthogonal root functions of the corresponding adjoint problems on eigenvalues.
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