Stability of degenerate parabolic Cauchy problems
Abstract
We prove that solutions to Cauchy problems related
to the p-parabolic equations are stable with respect to the nonlinearity
exponent p. More specifically, solutions with a fixed initial
trace converge in an L
q
-space to a solution of the limit problem as
p > 2 varies.
Main Authors
Format
Articles
Research article
Published
2015
Series
Subjects
Publication in research information system
Publisher
American Institute of Mathematical Sciences
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201509022785Use this for linking
Review status
Peer reviewed
ISSN
1534-0392
DOI
https://doi.org/10.3934/cpaa.2015.14.201
Language
English
Published in
Communications on pure and applied analysis
Citation
- Lukkari, T., & Parviainen, M. (2015). Stability of degenerate parabolic Cauchy problems. Communications on pure and applied analysis, 14(1), 201-216. https://doi.org/10.3934/cpaa.2015.14.201
License
Copyright© 2014 American Institute of Mathematical Sciences. This is a final draft version of an article whose final and definitive form has been published by AIMS. Published in this repository with the kind permission of the publisher.