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On Solvability in the Sense of Sequences for some Non-Fredholm Operators in Higher Dimensions

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We study the solvability of some linear inhomogeneous elliptic equations and establish that, under reasonable technical conditions, the convergence in L2(ℝd) of their righthand sides yields the existence and convergence of the solutions in L2(ℝd).

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  1. University of Toronto 27 King’s College Circle Toronto, Ontario, M5S 1A1, Canada

    V. Vougalter

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Correspondence to V. Vougalter.

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Translated from Problemy Matematicheskogo Analiza102, 2020, pp. 85-96.

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Vougalter, V. On Solvability in the Sense of Sequences for some Non-Fredholm Operators in Higher Dimensions. J Math Sci 247, 850–864 (2020). https://doi.org/10.1007/s10958-020-04841-x

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