A DSM proof of surjectivity of monotone nonlinear mappings
Numerical Analysis
2008-04-23 v1
Abstract
We prove that if is twice Frechet differentiable and coercivity conditions hold, then is surjective, i.e., the equation is solvable for every . This is a basic result in the theory of monotone operators. Our aim is to give a simple and short proof of this result based on the Dynamical Systems Method (DSM), developed in the monograph A.G. Ramm, Dynamical systems method, Elsevier, Amsterdam, 2007.
Keywords
Cite
@article{arxiv.0804.3391,
title = {A DSM proof of surjectivity of monotone nonlinear mappings},
author = {A. G. Ramm},
journal= {arXiv preprint arXiv:0804.3391},
year = {2008}
}