Pointwise estimates for the polyharmonic green function in general domains

Svitlana Mayboroda, Vladimir Maz’ya

Research output: Contribution to journalArticlepeer-review

9 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 languageEnglish (US)
Pages (from-to)143-158
Number of pages16
JournalOperator Theory: Advances and Applications
Volume193
DOIs
StatePublished - 2009
Externally publishedYes

Bibliographical note

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

Keywords

  • Dirichlet problem
  • General domains
  • Green function
  • Polyharmonic equation

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