Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions

Changchun Liu

Annales Polonici Mathematici (2013)

  • Volume: 107, Issue: 3, page 271-291
  • ISSN: 0066-2216

Abstract

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We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.

How to cite

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Changchun Liu. "Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions." Annales Polonici Mathematici 107.3 (2013): 271-291. <http://eudml.org/doc/280297>.

@article{ChangchunLiu2013,
abstract = {We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.},
author = {Changchun Liu},
journal = {Annales Polonici Mathematici},
keywords = {sixth order nonlinear parabolic equation; existence; regularity; oil-water-surfactant mixtures; Schauder type estimates; Campanato spaces; two space dimensions},
language = {eng},
number = {3},
pages = {271-291},
title = {Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions},
url = {http://eudml.org/doc/280297},
volume = {107},
year = {2013},
}

TY - JOUR
AU - Changchun Liu
TI - Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 3
SP - 271
EP - 291
AB - We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.
LA - eng
KW - sixth order nonlinear parabolic equation; existence; regularity; oil-water-surfactant mixtures; Schauder type estimates; Campanato spaces; two space dimensions
UR - http://eudml.org/doc/280297
ER -

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