English

Parabolic equations with dynamic boundary conditions and drift terms

Analysis of PDEs 2021-11-15 v2

Abstract

The aim of this paper is to study the wellposedness and L2L^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.

Keywords

Cite

@article{arxiv.1909.02377,
  title  = {Parabolic equations with dynamic boundary conditions and drift terms},
  author = {A. Khoutaibi and L. Maniar and D. Mugnolo and A. Rhandi},
  journal= {arXiv preprint arXiv:1909.02377},
  year   = {2021}
}

Comments

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

R2 v1 2026-06-23T11:06:42.598Z