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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Laplace equation/ by Dagmar Medkova.
其他題名:	boundary value problems on bounded and unbounded Lipschitz domains /
作者:	Medkova, Dagmar.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xiii, 655 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Harmonic functions. -
電子資源:	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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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 528307
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