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

Pavel Gurevich

doi:10.1016/j.jde.2008.06.001

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arXiv · 1406.6195

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

Pavel Gurevich

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Abstract

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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Pavel Gurevich. 2014-06-24. Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions. https://doi.org/10.1016/j.jde.2008.06.001

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