Geodesic
Semigroup formulation of Rothe's method: application to parabolic problems
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 245-260.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A semilinear parabolic equation in a Banach space is considered. The purpose of this paper is to show the dependence of an error estimate for Rothe's method on the regularity of initial data. The proofs are done using a semigroup theory and Taylor spectral representation.
Classification : 35G10, 35K22, 35K25, 47D03, 65M15, 65M20
Keywords: error estimates; parabolic equation; backward Euler method 
@article{CMUC_1992__33_2_a4,
     author = {Slodi\v{c}ka, Mari\'an},
     title = {Semigroup formulation of {Rothe's} method: application to parabolic problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {245--260},
     publisher = {mathdoc},
     volume = {33},
     number = {2},
     year = {1992},
     mrnumber = {1189655},
     zbl = {0756.65121},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a4/}
}
TY  - JOUR
AU  - Slodička, Marián
TI  - Semigroup formulation of Rothe's method: application to parabolic problems
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1992
SP  - 245
EP  - 260
VL  - 33
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a4/
LA  - en
ID  - CMUC_1992__33_2_a4
ER  - 
%0 Journal Article
%A Slodička, Marián
%T Semigroup formulation of Rothe's method: application to parabolic problems
%J Commentationes Mathematicae Universitatis Carolinae
%D 1992
%P 245-260
%V 33
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a4/
%G en
%F CMUC_1992__33_2_a4
Slodička, Marián. Semigroup formulation of Rothe's method: application to parabolic problems. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 245-260. http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a4/