Solvability of nonlocal elliptic problems in dihedral angles (Q1810176)
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scientific article; zbMATH DE number 1928274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of nonlocal elliptic problems in dihedral angles |
scientific article; zbMATH DE number 1928274 |
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Solvability of nonlocal elliptic problems in dihedral angles (English)
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15 June 2003
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Here the author proposes new approach to studying nonlocal problems based on the Green's formula and conjugate nonlocal problems. Such an approach allows him to remove additional constraints on the corresponding ``local'' model problem and to obtain necessary and sufficient conditions for the Fredholm solvability of nonlocal problems in plane angles and for the unique solvability of such problems in dihedral angles.
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nonlocal boundary-value problem
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nonlocal transmission problem
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elliptic problem
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Green's formula
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Fredholm solvability
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unique solvability
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