The nonlinear wave equation with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds
arxiv(2024)
摘要
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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