Perturbative methods for inverse problems on degenerate differential equations

Abstract

Pertubation results for linear relations satisfying a resolvent condition of weak parabolic type are established. Such results are applied to solve some inverse problems for degenerate differential equations, supplying a new method which avoids any fixed-point argument and essentially consists in reducing the original inverse problem to an auxiliary direct one.

Keywords

• pertubative methods, inverse problems, degenerate differential equations