A boundary condition and spectral problems for the Newton potential

T. Sh Kalmenov; D. Suragan

doi:10.1007/978-3-0348-0069-3_11

A boundary condition and spectral problems for the Newton potential

T. Sh Kalmenov, D. Suragan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

47 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 language	English
Title of host publication	Modern Aspects of the Theory of Partial Differential Equations
Editors	Michael Ruzhansky, Jens Wirth
Publisher	Springer International Publishing AG
Pages	187-210
Number of pages	24
ISBN (Print)	9783034800686
DOIs	https://doi.org/10.1007/978-3-0348-0069-3_11
Publication status	Published - Jan 1 2011
Externally published	Yes
Event	7th International Society for Analysis, its Applications and Computations, ISAAC 2009 - London, United Kingdom Duration: Jul 13 2009 → Jul 18 2009

Publication series

Name	Operator Theory: Advances and Applications
Volume	216
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

Conference

Conference	7th International Society for Analysis, its Applications and Computations, ISAAC 2009
Country/Territory	United Kingdom
City	London
Period	7/13/09 → 7/18/09

Keywords

Boundary conditions
Eigenfunctions
Eigenvalues
Polyharmonic equations
The Newton potential

ASJC Scopus subject areas

Analysis

Access to Document

10.1007/978-3-0348-0069-3_11

Cite this

A boundary condition and spectral problems for the Newton potential. / Kalmenov, T. Sh; Suragan, D.
Modern Aspects of the Theory of Partial Differential Equations. ed. / Michael Ruzhansky; Jens Wirth. Springer International Publishing AG, 2011. p. 187-210 (Operator Theory: Advances and Applications; Vol. 216).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kalmenov, TS & Suragan, D 2011, A boundary condition and spectral problems for the Newton potential. in M Ruzhansky & J Wirth (eds), Modern Aspects of the Theory of Partial Differential Equations. Operator Theory: Advances and Applications, vol. 216, Springer International Publishing AG, pp. 187-210, 7th International Society for Analysis, its Applications and Computations, ISAAC 2009, London, United Kingdom, 7/13/09. https://doi.org/10.1007/978-3-0348-0069-3_11

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A boundary condition and spectral problems for the Newton potential

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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