GELFANDS EQUATION IN SPHERICAL DOMAINS .2. FURTHER RESULTS AND THE SPHERICAL ANNULUS REVISITED

Authors
HOOD MJ WAKE GC
Citation
Mj. Hood et Gc. Wake, GELFANDS EQUATION IN SPHERICAL DOMAINS .2. FURTHER RESULTS AND THE SPHERICAL ANNULUS REVISITED, Mathematical and computer modelling, 24(8), 1996, pp. 47-54
Citations number
3
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
24
Issue
8
Year of publication
1996
Pages
47 - 54
Database
ISI
SICI code
0895-7177(1996)24:8<47:GEISD.>2.0.ZU;2-9
Abstract
Gel'fand's equation in a sphere is revisited. In a spherical annulus, it is proved to have the properties of finite multiplicity (for the an nulus) suggested by earlier computations. In this paper, further analy sis is provided which suggests that the gross multiplicity in three (o r more-up to ten) dimensions is a property of simply-connected domains only. The case of a ''hot core'' and finite Blot number on the outsid e of the spherical annulus is amenable to the same analysis.