Dirichlet-transmission problems for general Brinkman operators on Lipschitz and \(C^1\) domains in Riemannian manifolds
In the interesting paper under review, the authors make use of a layer potential method in order to obtain solvability results in Sobolev spaces for a Dirichlet-transmission problem. These are given in terms of general Brinkman operators in the case when the solution is defined in two adjacent Lipschitz or \(C^1\)-domains over a Riemannian manifold, and the solution satisfies prescribed transmission conditions at the interface between these domains and an additional Dirichlet condition on an external boundary.
scientific article; zbMATH DE number 5919123