عنوان

Boundary behavior of solutions to elliptic equations in general domains /

(Number (ISBN

3037196904

(Number (ISBN

9783037196908

Erroneous ISBN

3037191902

Erroneous ISBN

9783037191903

Title Proper

Boundary behavior of solutions to elliptic equations in general domains /

General Material Designation

[Book]

First Statement of Responsibility

Vladimir G. Maz'ya.

Place of Publication, Distribution, etc.

Zürich, Switzerland :

Name of Publisher, Distributor, etc.

European Mathematical Society,

Date of Publication, Distribution, etc.

[2018]

Specific Material Designation and Extent of Item

1 online resource.

Series Title

EMS tracts in mathematics ;

Volume Designation

30

Text of Note

Includes bibliographical references and index.

Text of Note

The present book is a detailed exposition of the author and his collaborators' work on boundedness, continuity, and differentiability properties of solutions to elliptic equations in general domains, that is, in domains that are not a priori restricted by assumptions such as "piecewise smoothness" or being a "Lipschitz graph". The description of the boundary behavior of such solutions is one of the most difficult problems in the theory of partial differential equations. After the famous Wiener test, the main contributions to this area were made by the author. In particular, necessary and sufficient conditions for the validity of imbedding theorems are given, which provide criteria for the unique solvability of boundary value problems of second and higher order elliptic equations. Another striking result is a test for the regularity of a boundary point for polyharmonic equations. The book will be interesting and useful for a wide audience. It is intended for specialists and graduate students working in the theory of partial differential equations.

Differential equations, Elliptic.

Differential equations, Elliptic.

Differential equations.

MATHEMATICS-- Calculus.

MATHEMATICS-- Mathematical Analysis.

Partial differential equations.

Potential theory.

MAT-- 005000

MAT-- 034000

Number

Edition

Class number

Book number

Class number

System Code

Mazʹi︠a︡, V. G.

Date of Transaction

20200823094814.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y