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

[BibTeX]

Preprint

Inserted: 4 may 2023

Year: 2023

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.