Calculus of Variations and Geometric Measure Theory

E. Mainini - D. Percivale

On the weighted inertia-energy approach to forced wave equations

created by mainini on 04 May 2023
modified on 29 Jul 2024

[BibTeX]

Published Paper

Inserted: 4 may 2023
Last Updated: 29 jul 2024

Journal: J. Differ. Equ.
Volume: 385
Pages: 121-154
Year: 2024
Doi: 10.1016/j.jde.2023.12.005

ArXiv: 2305.00731 PDF

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.