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arxiv: 1406.6195 · v1 · pith:YRC2I4MMnew · submitted 2014-06-24 · 🧮 math.AP

Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions

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keywords conditionsgeneralizednonlocalsmoothnesssolutionsboundaryellipticequations
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Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions is studied in plane domains. Necessary and sufficient conditions upon the right-hand side of the problem and nonlocal operators under which the generalized solutions possess an appropriate smoothness are established.

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