On the weighted inertia-energy approach to forced wave equations
Analysis of PDEs
2023-05-02 v1
Abstract
We show convergence of minimizers of weighted inertia-energy functionals to solutions of initial value problems for a class of nonlinear wave equations. The result is given for the nonhomogeneous case under a natural growth assumption on the forcing term.
Keywords
Cite
@article{arxiv.2305.00731,
title = {On the weighted inertia-energy approach to forced wave equations},
author = {Edoardo Mainini and Danilo Percivale},
journal= {arXiv preprint arXiv:2305.00731},
year = {2023}
}