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arXiv · 1909.02377

Parabolic equations with dynamic boundary conditions and drift terms

A. Khoutaibi·L. Maniar·D. Mugnolo·A. Rhandi
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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.

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A. Khoutaibi, L. Maniar, D. Mugnolo, A. Rhandi. 2019-09-05. Parabolic equations with dynamic boundary conditions and drift terms. https://arxiv.org/abs/1909.02377

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