17-110 Vitali Vougalter, Vitaly Volpert

On the solvability in the sense of sequences for some non Fredholm operators related to the anomalous diffusion (243K, pdf) Nov 29, 17

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Abstract. We study solvability of some linear nonhomogeneous elliptic problems and prove that under reasonable technical conditions the convergence in L^2(R^d) of their right sides implies the existence and the convergence in H^2s (R^d) of the solutions. The equations involve the second order non Fredholm differential operators raised to certain fractional powers s and we use the methods of spectral and scattering theory for Schrodinger type operators developed in our preceding work [26].

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