21-35 Vitali Vougalter
Solvability in the sense of sequences for some non-Fredholm operators related to the double scale anomalous diffusion in higher dimensions (132K, pdf) Jun 30, 21
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Abstract. We study solvability of certain linear nonhomogeneous equations involving the sum of the two distinct fractional powers of a Schrodinger operator in higher dimensions and establish that under reasonable technical assumptions the convergence in L^2(R^d) of the right sides implies the existence and the convergence in L^2(R^d) of the solutions. The problems contain the operators without the Fredholm property and we use the methods of the spectral and scattering theory for the Schrodinger type operators similarly to our preceding work [21].

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