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

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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. 


The book has been written in a way that makes it as readable as possible for a wide mathematical audience, and includes all the fundamental definitions and propositions from other fields of mathematics.


This book is of interest to research students, as well as experts in partial differential equations and numerical analysis.

€128.39
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Table des matières

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.

A propos de l’auteur

Doc. RNDr. Dagmar Medková (CSc) is a research fellow at the Czech Academy of Sciences’ Institute of Mathematics.
Langue Anglais ● Format PDF ● Pages 655 ● ISBN 9783319743073 ● Taille du fichier 9.6 MB ● Maison d’édition Springer International Publishing ● Lieu Cham ● Pays CH ● Publié 2018 ● Téléchargeable 24 mois ● Devise EUR ● ID 6178767 ● Protection contre la copie DRM sociale

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