Non linear eigenvalue problems

Details Non linear eigenvalue problems Non linear eigenvalue problems

2004-12-06

arxiv.org/abs/math-ph/0412015v1

Physics

Mathematical Physics

Scientific paper

In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non self-adjoint operator. We discuss here existence of non trivial eigenstates for models coming from analytic theory of smoothness for P.D.E. We shall review some old results and present recent improvements on this subject.

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