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The Laplace equationboundary value p...

Medkova, Dagmar.

The Laplace equationboundary value problems on bounded and unbounded Lipschitz domains /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Laplace equationby 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$q(electronic bk.)

The Laplace equationboundary 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$q(electronic bk.)

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

205716
Harmonic functions.

LC Class. No.: QA405 / .M435 2018

Dewey Class. No.: 515.53

The Laplace equationboundary value problems on bounded and unbounded Lipschitz domains /
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245 1 4 $a The Laplace equation $h [electronic resource] : $b boundary value problems on bounded and unbounded Lipschitz domains / $c by Dagmar Medkova.
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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.
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650 0 $a Boundary value problems. $3 206979
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650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Potential Theory. $3 274599
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