Local well-posedness for the nonlinear heat and Schr\"odinger equations with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds
Abstract
We prove a local well-posedness result for the semilinear heat and Schr\"odinger equations 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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