On the solvability in the sense of sequences for some non-Fredholm operators
Résumé
We investigate solvability of certain linear nonhomogeneous elliptic equations 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 Schrodinger type operators analogously to our previous work [18].