Pointwise estimates for the polyharmonic green function in general domains

Svitlana Mayboroda; Vladimir Maz’ya

doi:10.1007/978-3-7643-9898-9_12

Pointwise estimates for the polyharmonic green function in general domains

Svitlana Mayboroda, Vladimir Maz’ya

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In the present paper we establish sharp estimates on the polyharmonic Green function and its derivatives in an arbitrary bounded open set.

Original language	English (US)
Pages (from-to)	143-158
Number of pages	16
Journal	Operator Theory: Advances and Applications
Volume	193
DOIs	https://doi.org/10.1007/978-3-7643-9898-9_12
State	Published - 2009
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2009 Birkhäuser Verlag Basel/Switzerland.

Keywords

Dirichlet problem
General domains
Green function
Polyharmonic equation

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10.1007/978-3-7643-9898-9_12

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title = "Pointwise estimates for the polyharmonic green function in general domains",

abstract = "In the present paper we establish sharp estimates on the polyharmonic Green function and its derivatives in an arbitrary bounded open set.",

keywords = "Dirichlet problem, General domains, Green function, Polyharmonic equation",

author = "Svitlana Mayboroda and Vladimir Maz{\textquoteright}ya",

note = "Publisher Copyright: {\textcopyright} 2009 Birkh{\"a}user Verlag Basel/Switzerland.",

year = "2009",

doi = "10.1007/978-3-7643-9898-9\_12",

language = "English (US)",

volume = "193",

pages = "143--158",

journal = "Operator Theory: Advances and Applications",

issn = "0255-0156",

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TY - JOUR

T1 - Pointwise estimates for the polyharmonic green function in general domains

AU - Mayboroda, Svitlana

AU - Maz’ya, Vladimir

PY - 2009

Y1 - 2009

N2 - In the present paper we establish sharp estimates on the polyharmonic Green function and its derivatives in an arbitrary bounded open set.

AB - In the present paper we establish sharp estimates on the polyharmonic Green function and its derivatives in an arbitrary bounded open set.

KW - Dirichlet problem

KW - General domains

KW - Green function

KW - Polyharmonic equation

UR - https://www.scopus.com/pages/publications/84958963032

UR - https://www.scopus.com/inward/citedby.url?scp=84958963032&partnerID=8YFLogxK

U2 - 10.1007/978-3-7643-9898-9_12

DO - 10.1007/978-3-7643-9898-9_12

M3 - Article

AN - SCOPUS:84958963032

SN - 0255-0156

VL - 193

SP - 143

EP - 158

JO - Operator Theory: Advances and Applications

JF - Operator Theory: Advances and Applications

ER -

Pointwise estimates for the polyharmonic green function in general domains

Abstract

Bibliographical note

Keywords

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