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Corpus ID: 202537705

Parabolic equations with dynamic boundary conditions and drift terms

@article{Khoutaibi2019ParabolicEW,
title={Parabolic equations with dynamic boundary conditions and drift terms},
author={A. Khoutaibi and L. Maniar and D. Mugnolo and A. Rhandi},
journal={arXiv: Analysis of PDEs},
year={2019}
}

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.