18-91 Vitaly Volpert, Vitali Vougalter

Solvability in the sense of sequences for some non Fredholm operators with drift (133K, pdf) Aug 27, 18

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Abstract. We study solvability of certain linear nonhomogeneous elliptic equations and prove that under reasonable technical conditions the convergence in L^2 of their right sides yields the existence and the convergence in H^2 of the solutions. The problems involve second order differential operators with or without Fredholm property, on the whole real line or on a finite interval with periodic boundary conditions. We show that the drift term involved in these equations provides the regularization for the solutions of our problems.

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