Mixed impedance boundary value problems for the Laplace–Beltrami equation

This work is devoted to the analysis of the mixed impedance-Neumann-Dirichlet boundary value problem (MIND~BVP) for the Laplace-Beltrami equation on a compact smooth surface $\mathcal{C}$ with smooth boundary. We prove, using the Lax-Milgram Lemma, that this MIND BVP has a unique solution in the cla...

Full description

Bibliographic Details
Main Author: Castro, Luis (author)
Other Authors: Duduchava, Roland (author), Speck, Frank-Olme (author)
Format: article
Language:eng
Published: 2020
Subjects:
Boundary value problem
Laplace-Beltrami equation
Impedance-Neumann-Dirichlet condition
Potential method
Boundary integral equation
Fredholm criteria
Symbol
Fredholm property
Unique solvability
Bessel potential space
Online Access:http://hdl.handle.net/10773/29279
Country:Portugal
Oai:oai:ria.ua.pt:10773/29279

Internet

http://hdl.handle.net/10773/29279

Similar Items