SMOOTHING PROPERTIES, DECAY, AND GLOBAL EXISTENCE OF SOLUTIONS TO NONLINEAR COUPLED SYSTEMS OF THERMOELASTIC TYPE

Authors
RIVERA JEM RACKE R
Citation
Jem. Rivera et R. Racke, SMOOTHING PROPERTIES, DECAY, AND GLOBAL EXISTENCE OF SOLUTIONS TO NONLINEAR COUPLED SYSTEMS OF THERMOELASTIC TYPE, SIAM journal on mathematical analysis, 26(6), 1995, pp. 1547-1563
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
26
Issue
6
Year of publication
1995
Pages
1547 - 1563
Database
ISI
SICI code
0036-1410(1995)26:6<1547:SPDAGE>2.0.ZU;2-H
Abstract
We consider a nonlinear coupled system of evolution equations, the sim plest of which models a thermoelastic plate. Smoothing and decay prope rties of solutions are investigated as well as the local well-posednes s and the global existence of solutions. For the system of standard th ermoelasticity it is proved that there is no similar smoothing effect.