CONTINUOUS DEPENDENCE RESULTS FOR AN ILL-POSED PROBLEM IN NONLINEAR VISCOELASTICITY

Authors
AMES KA PAYNE LE
Citation
Ka. Ames et Le. Payne, CONTINUOUS DEPENDENCE RESULTS FOR AN ILL-POSED PROBLEM IN NONLINEAR VISCOELASTICITY, Zeitschrift fur angewandte Mathematik und Physik, 48(1), 1997, pp. 20-29
Citations number
7
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
48
Issue
1
Year of publication
1997
Pages
20 - 29
Database
ISI
SICI code
0044-2275(1997)48:1<20:CDRFAI>2.0.ZU;2-6
Abstract
Holder continuous dependence on the initial data is established for a backward in time problem in nonlinear viscoelasticity. Both the one di mensional momentum equation and its multidimensional counterpart are s tudied. Since the initial-boundary value problem for each equation bac kward in time is ill-posed, a logarithmic convexity argument is employ ed to obtain these stability results.