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oai:riuma.uma.es:10630/289452026-02-03T10:51:12Zcom_10630_2254col_10630_37953

Exterior boundary-value poincaré problem for elliptic systems of the second order with two independent variables Criado-Aldeanueva, Francisco Odishelidze, N. Sánchez-Sáez, José María Khachidze, M. Ecuaciones integrales Matemáticas This paper offers a number of examples showing that in the case of two independent variables the uniform ellipticity of a linear system of differential equations with partial derivatives of the second order, which fulfills condition (3), do not always cause the normal solvability of formulated exterior elliptic problems in the sense of Noether. Nevertheless, from the system of differential equations with partial derivatives of elliptic type it is possible to choose, under certain additional conditions, classes which are normally solvable in the sense of Noether. This paper also shows that for the so-called decomposed system of differential equations, with partial derivatives of an elliptic type in the case of exterior regions, the Noether theorems are valid. 2024-01-19T12:38:35Z 2024-01-19T12:38:35Z 2024-01-19T12:38:35Z 2023-12-21 journal article Criado-Aldeanueva, F., Odishelidze, N., Sanchez, J.M. et al. Exterior Boundary-Value Poincaré Problem for Elliptic Systems of the Second Order with Two Independent Variables. Acta Appl Math 189, 1 (2024). https://doi.org/10.1007/s10440-023-00629-8 https://hdl.handle.net/10630/28945 10.1007/s10440-023-00629-8 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer Nature