Geodesic
Hopf-type estimates for solutions to Hamilton-Jacobi equations with concave-convex initial data
Electronic journal of differential equations, Tome 2003 (2003)
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__a140,
     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},
     year = {2003},
     volume = {2003},
     zbl = {1035.35022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a140/}
}
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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__a140/