Geodesic
Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients
Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 123 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We discuss solution concepts for linear hyperbolic equations with coefficients of regularity below Lipschitz continuity. Thereby our focus is on theories which are based either on a generalization of the method of characteristics or on refined techniques concerning energy estimates. We provide a series of examples both as simple illustrations of the notions and conditions involved but also to show logical independence among the concepts.
DOI : 10.2298/PIM0898123H
Classification : 35D05 35D10 46F10 46F30 
@article{10_2298_PIM0898123H,
     author = {Simon Haller and G\"unther H\"ormann},
     title = {Comparison of {Some} {Solution} {Concepts} for {Linear} {First-order} {Hyperbolic} {Differential} {Equations} {With} {Non-smooth} {Coefficients}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {123 },
     publisher = {mathdoc},
     volume = {_N_S_84},
     number = {98},
     year = {2008},
     doi = {10.2298/PIM0898123H},
     zbl = {1274.35225},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0898123H/}
}
TY  - JOUR
AU  - Simon Haller
AU  - Günther Hörmann
TI  - Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients
JO  - Publications de l'Institut Mathématique
PY  - 2008
SP  - 123 
VL  - _N_S_84
IS  - 98
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM0898123H/
DO  - 10.2298/PIM0898123H
LA  - en
ID  - 10_2298_PIM0898123H
ER  - 
%0 Journal Article
%A Simon Haller
%A Günther Hörmann
%T Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients
%J Publications de l'Institut Mathématique
%D 2008
%P 123 
%V _N_S_84
%N 98
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM0898123H/
%R 10.2298/PIM0898123H
%G en
%F 10_2298_PIM0898123H
Simon Haller; Günther Hörmann. Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients. Publications de l'Institut Mathématique, _N_S_84 (2008) no. 98, p. 123 . doi : 10.2298/PIM0898123H. http://geodesic.mathdoc.fr/articles/10.2298/PIM0898123H/

Cité par Sources :