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The Laplace equation = boundary valu...

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The Laplace equation = boundary value problems on bounded and unbounded Lipschitz domains /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The Laplace equation/ by Dagmar Medkova.
Reminder of title:	boundary value problems on bounded and unbounded Lipschitz domains /
Author:	Medkova, Dagmar.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 655 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Harmonic functions. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-74307-3
ISBN:	9783319743073

The Laplace equation = boundary value problems on bounded and unbounded Lipschitz domains /
Medkova, Dagmar.

The Laplace equationboundary value problems on bounded and unbounded Lipschitz domains /[electronic resource] :by Dagmar Medkova. - Cham :Springer International Publishing :2018. - xiii, 655 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783319743073

Standard No.: 10.1007/978-3-319-74307-3doiSubjects--Topical Terms:

787490
Harmonic functions.

LC Class. No.: QA405 / .M435 2018

Dewey Class. No.: 515.53

The Laplace equation = boundary value problems on bounded and unbounded Lipschitz domains /
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100 1 $a Medkova, Dagmar. $3 1202754
245 1 4 $a The Laplace equation $h [electronic resource] : $b boundary value problems on bounded and unbounded Lipschitz domains / $c by Dagmar Medkova.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xiii, 655 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Harmonic functions. $3 787490
650 0 $a Boundary value problems. $3 528307
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Potential Theory. $3 672266
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-74307-3
950 $a Mathematics and Statistics (Springer-11649)

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