Solvability Conditions for Some non Fredholm Operators
Analysis of PDEs
2009-02-19 v1
Abstract
We obtain solvability conditions for some elliptic equations involving non Fredholm operators with the methods of spectral theory and scattering theory for Schrodinger type operators. Though the Fredholm property is not satisfied, the solvability conditions are formulated in terms of orthogonality of the right-hand side to solutions of the homogeneous adjoint equation.
Cite
@article{arxiv.0902.3182,
title = {Solvability Conditions for Some non Fredholm Operators},
author = {Vitali Vougalter and Vitaly Volpert},
journal= {arXiv preprint arXiv:0902.3182},
year = {2009}
}