The nonlinear wave equation with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds

2024/04/08 by Marta, Alessio · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2404.05855

Abstract

We prove a local well-posedness result for an evolution problem consisting of a semilinear wave equation with subcritical nonlinearities posed on a time-dependent compact Riemannian manifold and supplied with a nonlinear dynamical boundary condition of Wentzell type.

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