Geodesic
Linear hyperbolic problems in the whole scale of Sobolev-type spaces of periodic functions
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 4, pp. 631-645

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

We study one-dimensional linear hyperbolic systems with $L^{\infty}$-coeffici\-ents subjected to periodic conditions in time and reflection boundary conditions in space. We derive a priori estimates and give an operator representation of solutions in the whole scale of Sobolev-type spaces of periodic functions. These spaces give an optimal regularity trade-off for our problem.
Classification : 35A05, 35B10, 35B45, 35L50
Keywords: hyperbolic systems; periodic-Dirichlet problems; anisotropic Sobolev spaces; a priori estimates 
@article{CMUC_2007__48_4_a6,
     author = {Kmit, I.},
     title = {Linear hyperbolic problems in the whole scale of {Sobolev-type} spaces of periodic functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {631--645},
     publisher = {mathdoc},
     volume = {48},
     number = {4},
     year = {2007},
     mrnumber = {2375164},
     zbl = {1199.35213},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2007__48_4_a6/}
}
TY  - JOUR
AU  - Kmit, I.
TI  - Linear hyperbolic problems in the whole scale of Sobolev-type spaces of periodic functions
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2007
SP  - 631
EP  - 645
VL  - 48
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_2007__48_4_a6/
LA  - en
ID  - CMUC_2007__48_4_a6
ER  - 
%0 Journal Article
%A Kmit, I.
%T Linear hyperbolic problems in the whole scale of Sobolev-type spaces of periodic functions
%J Commentationes Mathematicae Universitatis Carolinae
%D 2007
%P 631-645
%V 48
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_2007__48_4_a6/
%G en
%F CMUC_2007__48_4_a6
Kmit, I. Linear hyperbolic problems in the whole scale of Sobolev-type spaces of periodic functions. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 4, pp. 631-645. http://geodesic.mathdoc.fr/item/CMUC_2007__48_4_a6/