Geodesic
Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider the Cauchy problem for the Hamilton-Jacobi equations with concave-convex initial data. A Hopf-type formula for global Lipschitz solutions and estimates for viscosity solutions of this problem are obtained using techniques of multifunctions and convex analysis.
Classification : 35A05, 35F20, 35F25
Keywords: Hamilton-Jacobi equations, Hopf-type formula, global Lipschitz solutions, viscosity solutions 
@article{EJDE_2003__2003__a40,
     author = {Nguyen Huu Tho and Tran Duc Van},
     title = {Hopf-type estimates for solutions to {Hamilton-Jacobi} equations with concave-convex initial data},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a40/}
}
TY  - JOUR
AU  - Nguyen Huu Tho
AU  - Tran Duc Van
TI  - Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data
JO  - Electronic Journal of Differential Equations
PY  - 2003
VL  - 2003
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a40/
LA  - en
ID  - EJDE_2003__2003__a40
ER  - 
%0 Journal Article
%A Nguyen Huu Tho
%A Tran Duc Van
%T Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data
%J Electronic Journal of Differential Equations
%D 2003
%V 2003
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a40/
%G en
%F EJDE_2003__2003__a40
Nguyen Huu Tho; Tran Duc Van. Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a40/