Geodesic
Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
Changchun Liu1
1 Department of Mathematics Jilin University Changchun 130012, China
Annales Polonici Mathematici, Tome 107 (2013) no. 3, pp. 271-291

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap107-3-4
Keywords: consider initial boundary problem sixth order nonlinear parabolic equation which arises oil water surfactant mixtures using schauder type estimates campanato spaces prove global existence classical solutions problem space dimensions

Changchun Liu 1

1 Department of Mathematics Jilin University Changchun 130012, China 
@article{10_4064_ap107_3_4,
     author = {Changchun Liu},
     title = {Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions},
     journal = {Annales Polonici Mathematici},
     pages = {271--291},
     publisher = {mathdoc},
     volume = {107},
     number = {3},
     year = {2013},
     doi = {10.4064/ap107-3-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap107-3-4/}
}
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
SP  - 271
EP  - 291
VL  - 107
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap107-3-4/
DO  - 10.4064/ap107-3-4
LA  - en
ID  - 10_4064_ap107_3_4
ER  - 
%0 Journal Article
%A Changchun Liu
%T Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
%J Annales Polonici Mathematici
%D 2013
%P 271-291
%V 107
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap107-3-4/
%R 10.4064/ap107-3-4
%G en
%F 10_4064_ap107_3_4
Changchun Liu. Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions. Annales Polonici Mathematici, Tome 107 (2013) no. 3, pp. 271-291. doi: 10.4064/ap107-3-4

Cité par Sources :