ON THE EXPONENTIAL TEMPORAL DECAY OF SOLUTIONS AND THEIR DERIVATIVES FOR QUASI-LINEAR PARABOLIC EQUATIONS

Authors
SHENKER Y ROSEMAN JJ SACKLER R SACKLER B
Citation
Y. Shenker et al., ON THE EXPONENTIAL TEMPORAL DECAY OF SOLUTIONS AND THEIR DERIVATIVES FOR QUASI-LINEAR PARABOLIC EQUATIONS, Zeitschrift fur angewandte Mathematik und Physik, 46(2), 1995, pp. 198-223
Citations number
14
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
46
Issue
2
Year of publication
1995
Pages
198 - 223
Database
ISI
SICI code
0044-2275(1995)46:2<198:OTETDO>2.0.ZU;2-H
Abstract
A nonlinear model for temperature evolution in a one-dimensional rod i s considered. Integral and uniform pointwise temporal exponential deca y estimates for the solution and its derivatives are obtained. A metho d is demonstrated for derivatives up to the third order but seems to a pply for derivatives of any order as well.