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

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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

Funding Information:
The first author is partially supported by the NSF grant DMS 0758500.

Publisher Copyright:
© 2009 Birkhäuser Verlag Basel/Switzerland.

Keywords

Dirichlet problem
General domains
Green function
Polyharmonic equation

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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 = "Funding Information: The first author is partially supported by the NSF grant DMS 0758500. Publisher Copyright: {\textcopyright} 2009 Birkh{\"a}user Verlag Basel/Switzerland.",

year = "2009",

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

language = "English (US)",

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pages = "143--158",

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

AU - Mayboroda, Svitlana

AU - Maz’ya, Vladimir

PY - 2009

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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

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

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

M3 - Article

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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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