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Global existence for parabolic systems by Lyapunov functions

Constantin, Adrian LU (2005) In Nodea. Nonlinear Differential Equations and Applications 12(3). p.383-389
Abstract
We present a result on the global existence of classical solutions for quasilinear parabolic systems with homogeneous Dirichlet boundary conditions in bounded domains with a smooth boundary. Our method relies on the use of Lyapunov functions.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
global solutions, quasilinear parabolic systems, Dirichlet condition
in
Nodea. Nonlinear Differential Equations and Applications
volume
12
issue
3
pages
383 - 389
publisher
Birkhäuser Verlag
external identifiers
  • wos:000233792900006
  • scopus:28944453639
ISSN
1021-9722
DOI
10.1007/s00030-005-0020-9
language
English
LU publication?
yes
id
f42b8ca8-bed9-4452-b453-c90b7ddf8b55 (old id 211087)
date added to LUP
2016-04-01 11:37:00
date last changed
2022-01-26 07:43:01
@article{f42b8ca8-bed9-4452-b453-c90b7ddf8b55,
  abstract     = {{We present a result on the global existence of classical solutions for quasilinear parabolic systems with homogeneous Dirichlet boundary conditions in bounded domains with a smooth boundary. Our method relies on the use of Lyapunov functions.}},
  author       = {{Constantin, Adrian}},
  issn         = {{1021-9722}},
  keywords     = {{global solutions; quasilinear parabolic systems; Dirichlet condition}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{383--389}},
  publisher    = {{Birkhäuser Verlag}},
  series       = {{Nodea. Nonlinear Differential Equations and Applications}},
  title        = {{Global existence for parabolic systems by Lyapunov functions}},
  url          = {{http://dx.doi.org/10.1007/s00030-005-0020-9}},
  doi          = {{10.1007/s00030-005-0020-9}},
  volume       = {{12}},
  year         = {{2005}},
}