Abstract
We investigate solvability of certain linear nonhomogeneous elliptic equa- tions and establish that under reasonable technical conditions the convergence in L 2 (R d ) of their right sides yields the existence and the convergence in H 2 (R d ) of the solutions. The problems involve the sums of second order differential operators without Fredholm property and we apply the methods of spectral and scattering theory for Schr¨ odinger type
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