A boundary condition and spectral problems for the Newton potential

T. Sh Kalmenov, D. Suragan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

42 Citations (Scopus)

Abstract

In this paper we give a boundary condition on the Newton(volume) potential for a bounded domain Ω and find its eigenvalues and eigenfunctions for the 2-disk and the 3-ball. We also extend these results in different directions.

Original languageEnglish
Title of host publicationModern Aspects of the Theory of Partial Differential Equations
EditorsMichael Ruzhansky, Jens Wirth
PublisherSpringer International Publishing AG
Pages187-210
Number of pages24
ISBN (Print)9783034800686
DOIs
Publication statusPublished - Jan 1 2011
Externally publishedYes
Event7th International Society for Analysis, its Applications and Computations, ISAAC 2009 - London, United Kingdom
Duration: Jul 13 2009Jul 18 2009

Publication series

NameOperator Theory: Advances and Applications
Volume216
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Conference

Conference7th International Society for Analysis, its Applications and Computations, ISAAC 2009
CountryUnited Kingdom
CityLondon
Period7/13/097/18/09

Keywords

  • Boundary conditions
  • Eigenfunctions
  • Eigenvalues
  • Polyharmonic equations
  • The Newton potential

ASJC Scopus subject areas

  • Analysis

Fingerprint Dive into the research topics of 'A boundary condition and spectral problems for the Newton potential'. Together they form a unique fingerprint.

Cite this