Geodesic
Comparison principle for a nonlinear parabolic problem of a nonmonotone type
Tomas Vejchodský1
1 Mathematical Institute Academy of Sciences Žitná 25 CZ-11567, Praha 1, Czech Republic
Applicationes Mathematicae, Tome 29 (2002) no. 1, pp. 65-73.

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

A nonlinear parabolic problem with the Newton boundary conditions and its weak formulation are examined. The problem describes nonstationary heat conduction in inhomogeneous and anisotropic media. We prove a comparison principle which guarantees that for greater data we obtain, in general, greater weak solutions. A new strategy of proving the comparison principle is presented.
DOI : 10.4064/am29-1-7
Keywords: nonlinear parabolic problem newton boundary conditions its weak formulation examined problem describes nonstationary heat conduction inhomogeneous anisotropic media prove comparison principle which guarantees greater obtain general greater weak solutions strategy proving comparison principle presented

Tomas Vejchodský 1

1 Mathematical Institute Academy of Sciences Žitná 25 CZ-11567, Praha 1, Czech Republic 
@article{10_4064_am29_1_7,
     author = {Tomas Vejchodsk\'y},
     title = {Comparison principle for a nonlinear
  parabolic problem of a nonmonotone type},
     journal = {Applicationes Mathematicae},
     pages = {65--73},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {2002},
     doi = {10.4064/am29-1-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am29-1-7/}
}
TY  - JOUR
AU  - Tomas Vejchodský
TI  - Comparison principle for a nonlinear
  parabolic problem of a nonmonotone type
JO  - Applicationes Mathematicae
PY  - 2002
SP  - 65
EP  - 73
VL  - 29
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am29-1-7/
DO  - 10.4064/am29-1-7
LA  - en
ID  - 10_4064_am29_1_7
ER  - 
%0 Journal Article
%A Tomas Vejchodský
%T Comparison principle for a nonlinear
  parabolic problem of a nonmonotone type
%J Applicationes Mathematicae
%D 2002
%P 65-73
%V 29
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am29-1-7/
%R 10.4064/am29-1-7
%G en
%F 10_4064_am29_1_7
Tomas Vejchodský. Comparison principle for a nonlinear
  parabolic problem of a nonmonotone type. Applicationes Mathematicae, Tome 29 (2002) no. 1, pp. 65-73. doi : 10.4064/am29-1-7. http://geodesic.mathdoc.fr/articles/10.4064/am29-1-7/

Cité par Sources :