عنوان

Boundary behavior of solutions to elliptic equations in general domains /

شابک

3037196904

شابک

9783037196908

شابک اشتباه

3037191902

شابک اشتباه

9783037191903

عنوان اصلي

Boundary behavior of solutions to elliptic equations in general domains /

نام عام مواد

[Book]

نام نخستين پديدآور

Vladimir G. Maz'ya.

محل نشرو پخش و غیره

Zürich, Switzerland :

نام ناشر، پخش کننده و غيره

European Mathematical Society,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource.

عنوان فروست

EMS tracts in mathematics ;

مشخصه جلد

30

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

موضوع مستند نشده

Differential equations, Elliptic.

موضوع مستند نشده

Differential equations, Elliptic.

موضوع مستند نشده

Differential equations.

موضوع مستند نشده

MATHEMATICS-- Calculus.

موضوع مستند نشده

MATHEMATICS-- Mathematical Analysis.

موضوع مستند نشده

Partial differential equations.

موضوع مستند نشده

Potential theory.

موضوع مستند نشده

MAT-- 005000

موضوع مستند نشده

MAT-- 034000

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

کد سيستم

مستند نام اشخاص تاييد نشده

Mazʹi︠a︡, V. G.

تاريخ عمليات

20200823094814.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y