Solvability Conditions for Some non Fredholm Operators

Details Solvability Conditions for Some non Fredholm Operators Solvability Conditions for Some non Fredholm Operators

2009-02-18

arxiv.org/abs/0902.3182v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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