PHRAGMEN-LINDELOF AND CONTINUOUS DEPENDENCE TYPE RESULTS IN GENERALIZED HEAT-CONDUCTION

Authors
PAYNE LE SONG JC
Citation
Le. Payne et Jc. Song, PHRAGMEN-LINDELOF AND CONTINUOUS DEPENDENCE TYPE RESULTS IN GENERALIZED HEAT-CONDUCTION, Zeitschrift fur angewandte Mathematik und Physik, 47(4), 1996, pp. 527-538
Citations number
15
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
47
Issue
4
Year of publication
1996
Pages
527 - 538
Database
ISI
SICI code
0044-2275(1996)47:4<527:PACDTR>2.0.ZU;2-#
Abstract
Using an energy method we investigate the decay of end effects for a g eneralized heat conduction problem defined on a semi-infinite cylindri cal region. With homogeneous Dirichlet conditions on the lateral surfa ce of the cylinder it is shown that solutions either grow exponentiall y or decay exponentially in the distance from the finite end of the cy linder. The effect of perturbing the equation parameters is also inves tigated.