On a general variational framework for existence and uniqueness in Differential Equations
Analysis of PDEs
2021-09-15 v1
Abstract
Starting from the classic contraction mapping principle, we establish a general, flexible, variational setting that turns out to be applicable to many situations of existence in Differential Equations. We show its potentiality with some selected examples including initial-value, Cauchy problems for ODEs; non-linear, monotone PDEs; linear and non-linear hyperbolic problems; and steady Navier-Stokes systems.
Cite
@article{arxiv.2109.06517,
title = {On a general variational framework for existence and uniqueness in Differential Equations},
author = {Pablo Pedregal},
journal= {arXiv preprint arXiv:2109.06517},
year = {2021}
}