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The Laplace Equation

Boundary Value Problems on Bounded and Unbounded Lipschitz Domains

Authors: Medková, Dagmar

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  • Discusses boundary value problems of the Poisson equations on bounded and unbounded domains
  • Examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces, and in the sense of non-tangential limits
  • Studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and the obstacle problem
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  • ISBN 978-3-319-74307-3
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Hardcover $219.99
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Softcover $159.99
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  • ISBN 978-3-030-08961-0
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About this book

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.

About the authors

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

Reviews

“This book gives a very nice introduction to the modern theory of partial differential equations and it collects together the most relevant results in several theories related to the regularity theory and the boundary value problems on bounded and unbounded domains. The material is also accessible for experts in other fields and for doctoral students. Detailed arguments are given to several results that are difficult to find in the literature.” (Juha K. Kinnunen, Mathematical Reviews, December, 2018)

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-319-74307-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-3-319-74306-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-3-030-08961-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Laplace Equation
Book Subtitle
Boundary Value Problems on Bounded and Unbounded Lipschitz Domains
Authors
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-74307-3
DOI
10.1007/978-3-319-74307-3
Hardcover ISBN
978-3-319-74306-6
Softcover ISBN
978-3-030-08961-0
Edition Number
1
Number of Pages
XIII, 655
Topics

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