13-78 Vitaly Volpert, Vitali Vougalter

Solvability conditions for some non Fredholm operators in a layer in four dimensions (167K, pdf) Sep 24, 13

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Abstract. We study solvability in H^2 of certain linear nonhomogeneous elliptic problems involving the sum of the periodic Laplacian and a Schroedinger operator without Fredholm property and prove that under reasonable technical conditions the convergence in L^2 of their right sides implies the existence and the convergence in H^2 of the solutions. We generalize the methods of spectral and scattering theory for Schroedinger type operators from our preceding work.

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