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ArticleOriginal scientific text

Title

Gradient method for non-injective operators in Hilbert space with application to Neumann problems

Authors 1

Affiliations

  1. Applied Analysis Department, Loránd Eötvös University, Múzeum krt. 6-8, H-1088 Budapest, Hungary

Abstract

The gradient method is developed for non-injective non-linear operators in Hilbert space that satisfy a translation invariance condition. The focus is on a class of non-differentiable operators. Linear convergence in norm is obtained. The method can be applied to quasilinear elliptic boundary value problems with Neumann boundary conditions.

Keywords

ENG
Neumann boundary value problems, non-injective non-linear operator, gradient method, Hilbert space

Bibliography

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Applicationes Mathematicae
1999/26/3
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Pages:
333-346
Main language of publication
English
Received
1999-02-02
Published
1999
Exact and natural sciences