The Laplace Equation: Boundary Value Problems on Bounded and Unbounded Lipschitz Domains By Dagmar Medková
English | PDF,EPUB | 2018 | 669 Pages | ISBN : 3319743066 | 21.51 MB
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 examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces and in the sense of non-tangential limit. It also explains relations between different solutions.