Parabolic equations with dynamic boundary conditions and drift terms

Abstract

The aim of this paper is to study the wellposedness and $L^2$-regularity, firstly for a linear heat equation with dynamic boundary conditions by using the approach of sesquilinear forms, and secondly for its backward adjoint equation using the Galerkin approximation and the extension semigroup to a negative Sobolev space.

Sorry. It was a mistake. This paper was already submitted by my coauthor Lahcen Maniar 2 years ago. I have only to update arXiv:1909.02377

Cited by in corpus (2)

• Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
• The cost of approximate controllability of heat equation with dynamical boundary conditions