Bounded solutions for a class of Hamiltonian systems
Analysis of PDEs
2017-07-20 v1 Classical Analysis and ODEs
Abstract
We obtain bounded for all solutions of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on , with . We derive a priori estimates for the Dirichlet problems, allowing passage to the limit, via a diagonal sequence. This approach carries over to the PDE case.
Cite
@article{arxiv.1707.06171,
title = {Bounded solutions for a class of Hamiltonian systems},
author = {Philip Korman and Guanying Peng},
journal= {arXiv preprint arXiv:1707.06171},
year = {2017}
}