We propose an L2 -version of the divergence theorem. The Green and Poisson operators associated with the infinite-dimensional version of the Dirichlet problem are investigated.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 5, pp. 611–624, May, 2018.
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Bogdanskii, Y.V. Divergence Theorem in the L2-Version. Application to the Dirichlet Problem. Ukr Math J 70, 702–718 (2018). https://doi.org/10.1007/s11253-018-1527-7
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DOI: https://doi.org/10.1007/s11253-018-1527-7