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.
@article{3422,
title = {Perturbative methods for inverse problems on degenerate differential equations},
journal = {Bruno Pini Mathematical Analysis Seminar},
year = {2012},
doi = {10.6092/issn.2240-2829/3422},
language = {IT},
url = {http://dml.mathdoc.fr/item/3422}
}
Favini, Angelo. Perturbative methods for inverse problems on degenerate differential equations. Bruno Pini Mathematical Analysis Seminar, (2012), . doi : 10.6092/issn.2240-2829/3422. http://gdmltest.u-ga.fr/item/3422/