Comparison results for nonlinear parabolic equations with monotone principal part

Authors
Carvalho, AN Gentile, CB
Citation
An. Carvalho et Cb. Gentile, Comparison results for nonlinear parabolic equations with monotone principal part, J MATH ANAL, 259(1), 2001, pp. 319-337
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
259
Issue
1
Year of publication
2001
Pages
319 - 337
Database
ISI
SICI code
0022-247X(20010701)259:1<319:CRFNPE>2.0.ZU;2-8
Abstract
In this work we prove an abstract comparison principle for abstract quasi-l inear parabolic problems with monotone principal part. This result is appli ed to parabolic problems having the p-laplacian as principal part and with non-Lipschitz perturbations. (C) 2001 Academic Press.