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arxiv: 1404.4203 · v1 · pith:SIKZLWS4new · submitted 2014-04-16 · 🧮 math.AP

Nonlocal problems for elliptic equations in dihedral angles and the Green formula

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keywords problemsanglesdihedralnonlocalconditionsellipticformulagreen
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Nonlocal problems for higher-order elliptic operators in dihedral and plane angles are considered. The Green formula is obtained, which leads to adjoint problems that take the form of nonlocal transmission problems in dihedral and plane angles. This allows us to establish necessary conditions of Fredholm solvability and sufficient conditions of one-valued solvability for nonlocal problems in dihedral angles.

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