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.

Parabolic equations with dynamic boundary conditions and drift terms

A. Rhandi
2022-01-01

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4788555
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