17-20 Vitali Vougalter, Vitaly Volpert

Solvability in the sense of sequences for some non Fredholm operators related to the superdiffusion (162K, pdf) Feb 17, 17

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Abstract. We study solvability of some linear nonhomogeneous elliptic equations and show that under reasonable technical conditions the convergence in L^2(R^d) of their right sides yields the existence and the convergence in H^1(R^d) of the solutions. The problems involve the square roots of the second order non Fredholm differential operators and we use the methods of spectral and scattering theory for Schrodinger type operators similarly to our preceding work [27].

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