Parabolic equations with dynamic boundary conditions and drift terms

A. Khoutaibi, L. Maniar, D. Mugnolo and A. Rhandi

Mathematische Nachrichten, 2022, vol. 295, issue 6, 1211-1232

Abstract: The aim of this paper is to study the wellposedness and L2‐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.

Date: 2022
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https://doi.org/10.1002/mana.201900348

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