Geodesic
Existence of a classical solution for linear parabolic systems of nondivergence form
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 3, pp. 475-482.

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

We prove the unique existence of a classical solution for a linear parabolic system of nondivergence and nondiagonal form. The key ingredient is to combine the energy estimates with Schauder estimates and to obtain a uniform boundedness of a solution.
Classification : 35A05, 35B45, 35D10, 35K40, 35K50
Keywords: linear parabolic system; nondivergence; nondiagonal form; $L^{\infty }$-estimate; \newline Schauder estimate 
@article{CMUC_2004__45_3_a7,
     author = {Misawa, Masashi},
     title = {Existence of a classical solution for linear parabolic systems of nondivergence form},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {475--482},
     publisher = {mathdoc},
     volume = {45},
     number = {3},
     year = {2004},
     mrnumber = {2103141},
     zbl = {1098.35073},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2004__45_3_a7/}
}
TY  - JOUR
AU  - Misawa, Masashi
TI  - Existence of a classical solution for linear parabolic systems of nondivergence form
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2004
SP  - 475
EP  - 482
VL  - 45
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2004__45_3_a7/
LA  - en
ID  - CMUC_2004__45_3_a7
ER  - 
%0 Journal Article
%A Misawa, Masashi
%T Existence of a classical solution for linear parabolic systems of nondivergence form
%J Commentationes Mathematicae Universitatis Carolinae
%D 2004
%P 475-482
%V 45
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2004__45_3_a7/
%G en
%F CMUC_2004__45_3_a7
Misawa, Masashi. Existence of a classical solution for linear parabolic systems of nondivergence form. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 3, pp. 475-482. http://geodesic.mathdoc.fr/item/CMUC_2004__45_3_a7/