The Laplace Equation

Boundary Value Problems on Bounded and Unbounded Lipschitz Domains

Nonfiction, Science & Nature, Mathematics, Vector Analysis, Differential Equations
Cover of the book The Laplace Equation by Dagmar Medková, Springer International Publishing
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Author: Dagmar Medková ISBN: 9783319743073
Publisher: Springer International Publishing Publication: March 31, 2018
Imprint: Springer Language: English
Author: Dagmar Medková
ISBN: 9783319743073
Publisher: Springer International Publishing
Publication: March 31, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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