Willkommen, schön sind Sie da!
Logo Ex Libris

The Laplace Equation

  • E-Book (pdf)
  • 655 Seiten
(0) Erste Bewertung abgeben
Bewertungen
(0)
(0)
(0)
(0)
(0)
Alle Bewertungen ansehen
This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It st... Weiterlesen
E-Books ganz einfach mit der kostenlosen Ex Libris-Reader-App lesen. Hier erhalten Sie Ihren Download-Link.
CHF 166.90
Download steht sofort bereit
Informationen zu E-Books
E-Books eignen sich auch für mobile Geräte (sehen Sie dazu die Anleitungen).
E-Books von Ex Libris sind mit Adobe DRM kopiergeschützt: Erfahren Sie mehr.
Weitere Informationen finden Sie hier.

Beschreibung

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.



Doc. RNDr. Dagmar Medková (CSc) is a research fellow at the Czech Academy of Sciences' Institute of Mathematics.

Autorentext
Doc. RNDr. Dagmar Medková (CSc) is a research fellow at the Czech Academy of Sciences' Institute of Mathematics.

Klappentext
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



Inhalt
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.

Produktinformationen

Titel: The Laplace Equation
Untertitel: Boundary Value Problems on Bounded and Unbounded Lipschitz Domains
Autor:
EAN: 9783319743073
Digitaler Kopierschutz: Wasserzeichen
Format: E-Book (pdf)
Hersteller: Springer-Verlag GmbH
Genre: Grundlagen
Anzahl Seiten: 655
Veröffentlichung: 31.03.2018
Dateigrösse: 9.2 MB