On global existence and stationary solutions for two classes of semilinear parabolic problems

Pavol Quittner

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 1, page 105-124
  • ISSN: 0010-2628

Abstract

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We investigate stationary solutions and asymptotic behaviour of solutions of two boundary value problems for semilinear parabolic equations. These equations involve both blow up and damping terms and they were studied by several authors. Our main goal is to fill some gaps in these studies.

How to cite

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Quittner, Pavol. "On global existence and stationary solutions for two classes of semilinear parabolic problems." Commentationes Mathematicae Universitatis Carolinae 34.1 (1993): 105-124. <http://eudml.org/doc/247463>.

@article{Quittner1993,
abstract = {We investigate stationary solutions and asymptotic behaviour of solutions of two boundary value problems for semilinear parabolic equations. These equations involve both blow up and damping terms and they were studied by several authors. Our main goal is to fill some gaps in these studies.},
author = {Quittner, Pavol},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {global existence; blow up; semilinear parabolic equation; stationary solution; semilinear parabolic problems; competition between a blow-up term and a damping term; steady states; global existence},
language = {eng},
number = {1},
pages = {105-124},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On global existence and stationary solutions for two classes of semilinear parabolic problems},
url = {http://eudml.org/doc/247463},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Quittner, Pavol
TI - On global existence and stationary solutions for two classes of semilinear parabolic problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 1
SP - 105
EP - 124
AB - We investigate stationary solutions and asymptotic behaviour of solutions of two boundary value problems for semilinear parabolic equations. These equations involve both blow up and damping terms and they were studied by several authors. Our main goal is to fill some gaps in these studies.
LA - eng
KW - global existence; blow up; semilinear parabolic equation; stationary solution; semilinear parabolic problems; competition between a blow-up term and a damping term; steady states; global existence
UR - http://eudml.org/doc/247463
ER -

References

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