Direct and inverse scattering problems for quasi-linear biharmonic operator in 3D

Abstract. We consider direct and inverse scattering problems for three-dimensional biharmonic operator \(Hu = ∆^2u + Vu\), where \(∆\) is the Laplacian and \(V\) is a scalar valued perturbation. The scattering problem for this operator is given as a partial differential equation \(Hu = k^4u\),...

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Bibliographic Details
Main Author: Kultima, J. (Jaakko)
Format: Dissertation
Language:English
Published: University of Oulu 2019
Online Access:http://jultika.oulu.fi/Record/nbnfioulu-201908272824