Parabolic equations with dynamic boundary conditions and drift terms

2019/09/05 by Khoutaibi, A., Maniar, L., Mugnolo, D. +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.02377

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.

Cited by

• Carleman Estimates and Controllability of Forward Stochastic Parabolic Equations with General Dynamic Boundary Conditions

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