The Fredholm property and well-posedness of a general differential boundary-value problem for a general improperly elliptic equation are analyzed in a two-dimensional bounded domain with smooth boundary.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 6, pp. 754–761, June, 2010.
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Burskii, V.P. Conditions of regularity of a general differential boundary-value problem for improperly elliptic equations. Ukr Math J 62, 872–881 (2010). https://doi.org/10.1007/s11253-010-0396-5
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DOI: https://doi.org/10.1007/s11253-010-0396-5