The Laplace Equation Boundary Value Problems on Bounded and Unbounded Lipschitz Domains /

• Main Author: Medková, Dagmar (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Partial differential equations.; Potential theory (Mathematics).; Partial Differential Equations.; Potential Theory.

This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examine...

Table of Contents:

• Introduction
• 1 Preliminaries
• 2 Harmonic Functions
• 3 Solutions of the Poisson equation
• 4 PWB solutions of the Dirichlet problem
• 5 Lp-solutions of boundary value problems
• 6 Classical solutions of BVP
• 7 Solutions in Sobolev and Besov spaces.