Existence and Uniqueness of a Solution to a Wentzell’s Problem with Non-Linear Delays

Abstract

In this work, we study the existence and uniqueness of the solution to a wave equation with dynamic Wentztell-type boundary conditions on a part of the boundary Γ1 of the domain Ω with non-linear delays in non-linear dampings in Ω and on Γ1, using the Faedo–Galerkin method.

Keywords

• wave equation
• Wentzell boundary conditions
• non-linear dampings
• non-linear delays
• Faedo–Galerkin method