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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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Table of contents (7 chapters)
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Front Matter
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Back Matter
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.
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Authors and Affiliations
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Institute of Mathematics of the Czech, Academy of Sciences, Praha 1, Czech Republic
Dagmar Medková
About the author
Bibliographic Information
Book Title: The Laplace Equation
Book Subtitle: Boundary Value Problems on Bounded and Unbounded Lipschitz Domains
Authors: Dagmar Medková
DOI: https://doi.org/10.1007/978-3-319-74307-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-74306-6Published: 13 April 2018
Softcover ISBN: 978-3-030-08961-0Published: 14 December 2018
eBook ISBN: 978-3-319-74307-3Published: 31 March 2018
Edition Number: 1
Number of Pages: XIII, 655